61,335,140

2² × 5 × 139 × 22063

61,335,140 factors as 2^2 × 5 × 139 × 22063. Its 24 positive divisors give a proper-divisor sum of 68,401,180, so this integer is abundant. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 139 × 22063

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 129,736,320

Proper Divisor Sum 68,401,180

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #61335121 ← → #61335187

Radix Representation

Decimal	61335140
Binary	11101001111110011001100100 (26 bits)
Octal	0o351763144
Hexadecimal	0x3A7E664

Divisor Catalog (24)

Collatz Trajectory (220 steps to reach 1)

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

61,335,140 30,667,570 15,333,785 46,001,356 23,000,678 11,500,339 34,501,018 17,250,509 51,751,528 25,875,764 12,937,882 6,468,941 19,406,824 9,703,412 4,851,706 2,425,853 7,277,560 3,638,780 1,819,390 909,695 2,729,086 1,364,543 4,093,630 2,046,815 6,140,446 3,070,223 9,210,670 4,605,335 13,816,006 6,908,003 20,724,010 10,362,005 31,086,016 15,543,008 7,771,504 3,885,752 1,942,876 971,438 485,719 1,457,158 728,579 2,185,738 1,092,869 3,278,608 1,639,304 819,652 409,826 204,913 614,740 307,370 153,685 461,056 230,528 115,264 57,632 28,816 14,408 7,204 3,602 1,801

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