11,627,313

3 × 41 × 94531

11,627,313 factors as 3 × 41 × 94531. Its 8 positive divisors give a proper-divisor sum of 4,254,063, so this integer is deficient. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 3 × 41 × 94531

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 15,881,376

Proper Divisor Sum 4,254,063

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #11627309 ← → #11627321

Radix Representation

Decimal	11627313
Binary	101100010110101100110001 (24 bits)
Octal	0o54265461
Hexadecimal	0xB16B31

Divisor Catalog (8)

1 3 41 123 94,531 283,593 3,875,771 11,627,313

Collatz Trajectory (109 steps to reach 1)

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

11,627,313 34,881,940 17,440,970 8,720,485 26,161,456 13,080,728 6,540,364 3,270,182 1,635,091 4,905,274 2,452,637 7,357,912 3,678,956 1,839,478 919,739 2,759,218 1,379,609 4,138,828 2,069,414 1,034,707 3,104,122 1,552,061 4,656,184 2,328,092 1,164,046 582,023 1,746,070 873,035 2,619,106 1,309,553 3,928,660 1,964,330 982,165 2,946,496 1,473,248 736,624 368,312 184,156 92,078 46,039 138,118 69,059 207,178 103,589 310,768 155,384 77,692 38,846 19,423 58,270 29,135 87,406 43,703 131,110 65,555 196,666 98,333 295,000 147,500 73,750

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