λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,703,372

9,703,372

22 × 72 × 31 × 1597
Abundant Even Composite

9,703,372 factors as 2^2 × 7^2 × 31 × 1597. Its 36 positive divisors give a proper-divisor sum of 10,699,892, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 31 × 1597
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 20,403,264
Proper Divisor Sum 10,699,892
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9703367 ← → #9703387

Radix Representation

Decimal 9703372
Binary 100101000000111111001100 (24 bits)
Octal 0o45007714
Hexadecimal 0x940FCC

Divisor Catalog (36)

1 2 4 7 14 28 31 49 62 98 124 196 217 434 868 1,519 1,597 3,038 3,194 6,076 6,388 11,179 22,358 44,716 49,507 78,253 99,014 156,506 198,028 313,012 346,549 693,098 1,386,196 2,425,843 4,851,686 9,703,372

Collatz Trajectory (114 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,703,372 4,851,686 2,425,843 7,277,530 3,638,765 10,916,296 5,458,148 2,729,074 1,364,537 4,093,612 2,046,806 1,023,403 3,070,210 1,535,105 4,605,316 2,302,658 1,151,329 3,453,988 1,726,994 863,497 2,590,492 1,295,246 647,623 1,942,870 971,435 2,914,306 1,457,153 4,371,460 2,185,730 1,092,865 3,278,596 1,639,298 819,649 2,458,948 1,229,474 614,737 1,844,212 922,106 461,053 1,383,160 691,580 345,790 172,895 518,686 259,343 778,030 389,015 1,167,046 583,523 1,750,570 875,285 2,625,856 1,312,928 656,464 328,232 164,116 82,058 41,029 123,088 61,544

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,703,371 Browse Full Index Next Integer #9,703,373 →