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Atlas › Integer Profiles › Node 10,831,730

10,831,730

2 × 5 × 7 × 13 × 11903
Abundant Even Composite

10,831,730 factors as 2 × 5 × 7 × 13 × 11903. Its 32 positive divisors give a proper-divisor sum of 13,166,734, so this integer is abundant. The Collatz stopping time is 264 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 13 × 11903
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,998,464
Proper Divisor Sum 13,166,734
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #10831727 ← → #10831747

Radix Representation

Decimal 10831730
Binary 101001010100011101110010 (24 bits)
Octal 0o51243562
Hexadecimal 0xA54772

Divisor Catalog (32)

1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 11,903 23,806 59,515 83,321 119,030 154,739 166,642 309,478 416,605 773,695 833,210 1,083,173 1,547,390 2,166,346 5,415,865 10,831,730

Collatz Trajectory (264 steps to reach 1)

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

10,831,730 5,415,865 16,247,596 8,123,798 4,061,899 12,185,698 6,092,849 18,278,548 9,139,274 4,569,637 13,708,912 6,854,456 3,427,228 1,713,614 856,807 2,570,422 1,285,211 3,855,634 1,927,817 5,783,452 2,891,726 1,445,863 4,337,590 2,168,795 6,506,386 3,253,193 9,759,580 4,879,790 2,439,895 7,319,686 3,659,843 10,979,530 5,489,765 16,469,296 8,234,648 4,117,324 2,058,662 1,029,331 3,087,994 1,543,997 4,631,992 2,315,996 1,157,998 578,999 1,736,998 868,499 2,605,498 1,302,749 3,908,248 1,954,124 977,062 488,531 1,465,594 732,797 2,198,392 1,099,196 549,598 274,799 824,398 412,199

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