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Atlas › Integer Profiles › Node 12,831,753

12,831,753

3 × 11 × 17 × 89 × 257
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 11 × 17 × 89 × 257
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,062,080
Proper Divisor Sum 7,230,327
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #12831743 ← → #12831757

Radix Representation

Decimal 12831753
Binary 110000111100110000001001 (24 bits)
Octal 0o60746011
Hexadecimal 0xC3CC09

Divisor Catalog (32)

1 3 11 17 33 51 89 187 257 267 561 771 979 1,513 2,827 2,937 4,369 4,539 8,481 13,107 16,643 22,873 48,059 49,929 68,619 144,177 251,603 388,841 754,809 1,166,523 4,277,251 12,831,753

Collatz Trajectory (241 steps to reach 1)

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

12,831,753 38,495,260 19,247,630 9,623,815 28,871,446 14,435,723 43,307,170 21,653,585 64,960,756 32,480,378 16,240,189 48,720,568 24,360,284 12,180,142 6,090,071 18,270,214 9,135,107 27,405,322 13,702,661 41,107,984 20,553,992 10,276,996 5,138,498 2,569,249 7,707,748 3,853,874 1,926,937 5,780,812 2,890,406 1,445,203 4,335,610 2,167,805 6,503,416 3,251,708 1,625,854 812,927 2,438,782 1,219,391 3,658,174 1,829,087 5,487,262 2,743,631 8,230,894 4,115,447 12,346,342 6,173,171 18,519,514 9,259,757 27,779,272 13,889,636 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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