61,365,759

3 × 7 × 13² × 17291

61,365,759 factors as 3 × 7 × 13^2 × 17291. Its 24 positive divisors give a proper-divisor sum of 39,896,193, so this integer is deficient. The Collatz stopping time is 282 steps.

Prime Factor Structure

Factorization String 3 × 7 × 13^2 × 17291

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 101,261,952

Proper Divisor Sum 39,896,193

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #61365757 ← → #61365779

Radix Representation

Decimal	61365759
Binary	11101010000101110111111111 (26 bits)
Octal	0o352056777
Hexadecimal	0x3A85DFF

Divisor Catalog (24)

Collatz Trajectory (282 steps to reach 1)

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

61,365,759 184,097,278 92,048,639 276,145,918 138,072,959 414,218,878 207,109,439 621,328,318 310,664,159 931,992,478 465,996,239 1,397,988,718 698,994,359 2,096,983,078 1,048,491,539 3,145,474,618 1,572,737,309 4,718,211,928 2,359,105,964 1,179,552,982 589,776,491 1,769,329,474 884,664,737 2,653,994,212 1,326,997,106 663,498,553 1,990,495,660 995,247,830 497,623,915 1,492,871,746 746,435,873 2,239,307,620 1,119,653,810 559,826,905 1,679,480,716 839,740,358 419,870,179 1,259,610,538 629,805,269 1,889,415,808 944,707,904 472,353,952 236,176,976 118,088,488 59,044,244 29,522,122 14,761,061 44,283,184 22,141,592 11,070,796 5,535,398 2,767,699 8,303,098 4,151,549 12,454,648 6,227,324 3,113,662 1,556,831 4,670,494 2,335,247

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