11,935,625

5⁴ × 13² × 113

11,935,625 factors as 5^4 × 13^2 × 113. Its 30 positive divisors give a proper-divisor sum of 4,357,597, so this integer is deficient. The Collatz stopping time is 290 steps.

Prime Factor Structure

Factorization String 5^4 × 13^2 × 113

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 16,293,222

Proper Divisor Sum 4,357,597

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #11935621 ← → #11935663

Radix Representation

Decimal	11935625
Binary	101101100001111110001001 (24 bits)
Octal	0o55417611
Hexadecimal	0xB61F89

Divisor Catalog (30)

Collatz Trajectory (290 steps to reach 1)

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

11,935,625 35,806,876 17,903,438 8,951,719 26,855,158 13,427,579 40,282,738 20,141,369 60,424,108 30,212,054 15,106,027 45,318,082 22,659,041 67,977,124 33,988,562 16,994,281 50,982,844 25,491,422 12,745,711 38,237,134 19,118,567 57,355,702 28,677,851 86,033,554 43,016,777 129,050,332 64,525,166 32,262,583 96,787,750 48,393,875 145,181,626 72,590,813 217,772,440 108,886,220 54,443,110 27,221,555 81,664,666 40,832,333 122,497,000 61,248,500 30,624,250 15,312,125 45,936,376 22,968,188 11,484,094 5,742,047 17,226,142 8,613,071 25,839,214 12,919,607 38,758,822 19,379,411 58,138,234 29,069,117 87,207,352 43,603,676 21,801,838 10,900,919 32,702,758 16,351,379

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