11,625,875

5³ × 17 × 5471

11,625,875 factors as 5^3 × 17 × 5471. Its 16 positive divisors give a proper-divisor sum of 3,739,501, so this integer is deficient. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 5^3 × 17 × 5471

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,365,376

Proper Divisor Sum 3,739,501

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #11625869 ← → #11625883

Radix Representation

Decimal	11625875
Binary	101100010110010110010011 (24 bits)
Octal	0o54262623
Hexadecimal	0xB16593

Divisor Catalog (16)

1 5 17 25 85 125 425 2,125 5,471 27,355 93,007 136,775 465,035 683,875 2,325,175 11,625,875

Collatz Trajectory (153 steps to reach 1)

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

11,625,875 34,877,626 17,438,813 52,316,440 26,158,220 13,079,110 6,539,555 19,618,666 9,809,333 29,428,000 14,714,000 7,357,000 3,678,500 1,839,250 919,625 2,758,876 1,379,438 689,719 2,069,158 1,034,579 3,103,738 1,551,869 4,655,608 2,327,804 1,163,902 581,951 1,745,854 872,927 2,618,782 1,309,391 3,928,174 1,964,087 5,892,262 2,946,131 8,838,394 4,419,197 13,257,592 6,628,796 3,314,398 1,657,199 4,971,598 2,485,799 7,457,398 3,728,699 11,186,098 5,593,049 16,779,148 8,389,574 4,194,787 12,584,362 6,292,181 18,876,544 9,438,272 4,719,136 2,359,568 1,179,784 589,892 294,946 147,473 442,420

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