12,731,092

2² × 11 × 289343

12,731,092 factors as 2^2 × 11 × 289343. Its 12 positive divisors give a proper-divisor sum of 11,573,804, so this integer is deficient. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 289343

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 24,304,896

Proper Divisor Sum 11,573,804

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #12731063 ← → #12731093

Radix Representation

Decimal	12731092
Binary	110000100100001011010100 (24 bits)
Octal	0o60441324
Hexadecimal	0xC242D4

Divisor Catalog (12)

1 2 4 11 22 44 289,343 578,686 1,157,372 3,182,773 6,365,546 12,731,092

Collatz Trajectory (73 steps to reach 1)

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

12,731,092 6,365,546 3,182,773 9,548,320 4,774,160 2,387,080 1,193,540 596,770 298,385 895,156 447,578 223,789 671,368 335,684 167,842 83,921 251,764 125,882 62,941 188,824 94,412 47,206 23,603 70,810 35,405 106,216 53,108 26,554 13,277 39,832 19,916 9,958 4,979 14,938 7,469 22,408 11,204 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22 11

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