For the information of the representative of the deceased, the consular officer, or, if no consular officer is present, a diplomatic officer, in the settlement of his estate shall immediately notify his death in one of the gazettes published in the consular district, and also to the Secretary of State, that the same may be notified in the State to which the deceased belonged; and he shall, as soon as may be, transmit to the Secretary of State an inventory of the effects of the deceased taken as before directed.