12,831,724

2² × 53 × 60527

12,831,724 factors as 2^2 × 53 × 60527. Its 12 positive divisors give a proper-divisor sum of 10,047,860, so this integer is deficient. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 2^2 × 53 × 60527

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 22,879,584

Proper Divisor Sum 10,047,860

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #12831701 ← → #12831739

Radix Representation

Decimal	12831724
Binary	110000111100101111101100 (24 bits)
Octal	0o60745754
Hexadecimal	0xC3CBEC

Divisor Catalog (12)

1 2 4 53 106 212 60,527 121,054 242,108 3,207,931 6,415,862 12,831,724

Collatz Trajectory (241 steps to reach 1)

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

12,831,724 6,415,862 3,207,931 9,623,794 4,811,897 14,435,692 7,217,846 3,608,923 10,826,770 5,413,385 16,240,156 8,120,078 4,060,039 12,180,118 6,090,059 18,270,178 9,135,089 27,405,268 13,702,634 6,851,317 20,553,952 10,276,976 5,138,488 2,569,244 1,284,622 642,311 1,926,934 963,467 2,890,402 1,445,201 4,335,604 2,167,802 1,083,901 3,251,704 1,625,852 812,926 406,463 1,219,390 609,695 1,829,086 914,543 2,743,630 1,371,815 4,115,446 2,057,723 6,173,170 3,086,585 9,259,756 4,629,878 2,314,939 6,944,818 3,472,409 10,417,228 5,208,614 2,604,307 7,812,922 3,906,461 11,719,384 5,859,692 2,929,846

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