61,313,348

2² × 113 × 135649

61,313,348 factors as 2^2 × 113 × 135649. Its 12 positive divisors give a proper-divisor sum of 46,935,352, so this integer is deficient. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2^2 × 113 × 135649

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 108,248,700

Proper Divisor Sum 46,935,352

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #61313347 ← → #61313353

Radix Representation

Decimal	61313348
Binary	11101001111001000101000100 (26 bits)
Octal	0o351710504
Hexadecimal	0x3A79144

Divisor Catalog (12)

1 2 4 113 226 452 135,649 271,298 542,596 15,328,337 30,656,674 61,313,348

Collatz Trajectory (251 steps to reach 1)

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

61,313,348 30,656,674 15,328,337 45,985,012 22,992,506 11,496,253 34,488,760 17,244,380 8,622,190 4,311,095 12,933,286 6,466,643 19,399,930 9,699,965 29,099,896 14,549,948 7,274,974 3,637,487 10,912,462 5,456,231 16,368,694 8,184,347 24,553,042 12,276,521 36,829,564 18,414,782 9,207,391 27,622,174 13,811,087 41,433,262 20,716,631 62,149,894 31,074,947 93,224,842 46,612,421 139,837,264 69,918,632 34,959,316 17,479,658 8,739,829 26,219,488 13,109,744 6,554,872 3,277,436 1,638,718 819,359 2,458,078 1,229,039 3,687,118 1,843,559 5,530,678 2,765,339 8,296,018 4,148,009 12,444,028 6,222,014 3,111,007 9,333,022 4,666,511 13,999,534

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