61,110,340

2² × 5 × 47 × 65011

61,110,340 factors as 2^2 × 5 × 47 × 65011. Its 24 positive divisors give a proper-divisor sum of 69,953,852, so this integer is abundant. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 47 × 65011

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 131,064,192

Proper Divisor Sum 69,953,852

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #61110317 ← → #61110367

Radix Representation

Decimal	61110340
Binary	11101001000111100001000100 (26 bits)
Octal	0o351074104
Hexadecimal	0x3A47844

Divisor Catalog (24)

Collatz Trajectory (127 steps to reach 1)

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

61,110,340 30,555,170 15,277,585 45,832,756 22,916,378 11,458,189 34,374,568 17,187,284 8,593,642 4,296,821 12,890,464 6,445,232 3,222,616 1,611,308 805,654 402,827 1,208,482 604,241 1,812,724 906,362 453,181 1,359,544 679,772 339,886 169,943 509,830 254,915 764,746 382,373 1,147,120 573,560 286,780 143,390 71,695 215,086 107,543 322,630 161,315 483,946 241,973 725,920 362,960 181,480 90,740 45,370 22,685 68,056 34,028 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072 21,536 10,768

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