61,367,348

2² × 7 × 17 × 128923

61,367,348 factors as 2^2 × 7 × 17 × 128923. Its 24 positive divisors give a proper-divisor sum of 68,588,044, so this integer is abundant. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 128923

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 129,955,392

Proper Divisor Sum 68,588,044

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #61367347 ← → #61367351

Radix Representation

Decimal	61367348
Binary	11101010000110010000110100 (26 bits)
Octal	0o352062064
Hexadecimal	0x3A86434

Divisor Catalog (24)

Collatz Trajectory (220 steps to reach 1)

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

61,367,348 30,683,674 15,341,837 46,025,512 23,012,756 11,506,378 5,753,189 17,259,568 8,629,784 4,314,892 2,157,446 1,078,723 3,236,170 1,618,085 4,854,256 2,427,128 1,213,564 606,782 303,391 910,174 455,087 1,365,262 682,631 2,047,894 1,023,947 3,071,842 1,535,921 4,607,764 2,303,882 1,151,941 3,455,824 1,727,912 863,956 431,978 215,989 647,968 323,984 161,992 80,996 40,498 20,249 60,748 30,374 15,187 45,562 22,781 68,344 34,172 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880

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