27,836,495

5 × 59 × 127 × 743

27,836,495 factors as 5 × 59 × 127 × 743. Its 16 positive divisors give a proper-divisor sum of 6,447,025, so this integer is deficient. The Collatz stopping time is 361 steps.

Prime Factor Structure

Factorization String 5 × 59 × 127 × 743

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 34,283,520

Proper Divisor Sum 6,447,025

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #27836483 ← → #27836513

Radix Representation

Decimal	27836495
Binary	1101010001100000001001111 (25 bits)
Octal	0o152140117
Hexadecimal	0x1A8C04F

Divisor Catalog (16)

1 5 59 127 295 635 743 3,715 7,493 37,465 43,837 94,361 219,185 471,805 5,567,299 27,836,495

Collatz Trajectory (361 steps to reach 1)

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

27,836,495 83,509,486 41,754,743 125,264,230 62,632,115 187,896,346 93,948,173 281,844,520 140,922,260 70,461,130 35,230,565 105,691,696 52,845,848 26,422,924 13,211,462 6,605,731 19,817,194 9,908,597 29,725,792 14,862,896 7,431,448 3,715,724 1,857,862 928,931 2,786,794 1,393,397 4,180,192 2,090,096 1,045,048 522,524 261,262 130,631 391,894 195,947 587,842 293,921 881,764 440,882 220,441 661,324 330,662 165,331 495,994 247,997 743,992 371,996 185,998 92,999 278,998 139,499 418,498 209,249 627,748 313,874 156,937 470,812 235,406 117,703 353,110 176,555

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