number.wiki

Term

Descending Digits

Numbers whose decimal digits strictly decrease, each smaller than the one before (321, 9630, 8531).

162 numbers tagged.

A number has descending digits when each digit is strictly smaller than the one before it: 321, 8531, 9630, 97520.

Unlike ascending numbers, these can use 0 — as the final digit — so the digits are a subset of 0–9 written in decreasing order. The largest example is the pandigital 9876543210.

Together with [[ascending-digits]] they're the two ‘monotone’ digit families; a number that is both ascending and descending can't exist beyond a single digit, since strict monotonicity can only go one way.

210 310 320 321 410 420 421 430 431 432 510 520 521 530 531 532 540 541 542 543 610 620 621 630 631 632 640 641 642 643 650 651 652 653 654 710 720 721 730 731 732 740 741 742 743 750 751 752 753 754 760 761 762 763 764 765 810 820 821 830 831 832 840 841 842 843 850 851 852 853 854 860 861 862 863 864 865 870 871 872 873 874 875 876 910 920 921 930 931 932 940 941 942 943 950 951 952 953 954 960 961 962 963 964 965 970 971 972 973 974 975 976 980 981 982 983 984 985 986 987 5,431 6,421 6,521 7,321 7,541 7,621 7,643 8,431 8,521 8,543 8,641 8,731 8,741 8,753 8,761 9,421 9,431 9,521 9,631 9,643 9,721 9,743 9,851 9,871 75,431 76,421 76,541 76,543 86,531 87,421 87,541 87,631 87,641 87,643 94,321 96,431 97,651 98,321 98,543 98,621 98,641 98,731