λ
Ratio Atlas
Atlas › Integer Profiles › Node 24,676,496

24,676,496

24 × 13 × 31 × 43 × 89
Abundant Even Composite

24,676,496 factors as 2^4 × 13 × 31 × 43 × 89. Its 80 positive divisors give a proper-divisor sum of 30,319,984, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 31 × 43 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 54,996,480
Proper Divisor Sum 30,319,984
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #24676451 ← → #24676499

Radix Representation

Decimal 24676496
Binary 1011110001000100010010000 (25 bits)
Octal 0o136104220
Hexadecimal 0x1788890

Divisor Catalog (60 of 80)

1 2 4 8 13 16 26 31 43 52 62 86 89 104 124 172 178 208 248 344 356 403 496 559 688 712 806 1,118 1,157 1,333 1,424 1,612 2,236 2,314 2,666 2,759 3,224 3,827 4,472 4,628 5,332 5,518 6,448 7,654 8,944 9,256 10,664 11,036 15,308 17,329 18,512 21,328 22,072 30,616 34,658 35,867 44,144 49,751 61,232 69,316

Collatz Trajectory (141 steps to reach 1)

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

24,676,496 12,338,248 6,169,124 3,084,562 1,542,281 4,626,844 2,313,422 1,156,711 3,470,134 1,735,067 5,205,202 2,602,601 7,807,804 3,903,902 1,951,951 5,855,854 2,927,927 8,783,782 4,391,891 13,175,674 6,587,837 19,763,512 9,881,756 4,940,878 2,470,439 7,411,318 3,705,659 11,116,978 5,558,489 16,675,468 8,337,734 4,168,867 12,506,602 6,253,301 18,759,904 9,379,952 4,689,976 2,344,988 1,172,494 586,247 1,758,742 879,371 2,638,114 1,319,057 3,957,172 1,978,586 989,293 2,967,880 1,483,940 741,970 370,985 1,112,956 556,478 278,239 834,718 417,359 1,252,078 626,039 1,878,118 939,059

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #24,676,495 Browse Full Index Next Integer #24,676,497 →