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Atlas › Integer Profiles › Node 10,367,658

10,367,658

2 × 32 × 7 × 107 × 769
Abundant Even Composite

10,367,658 factors as 2 × 3^2 × 7 × 107 × 769. Its 48 positive divisors give a proper-divisor sum of 15,578,262, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 107 × 769
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,945,920
Proper Divisor Sum 15,578,262
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #10367639 ← → #10367663

Radix Representation

Decimal 10367658
Binary 100111100011001010101010 (24 bits)
Octal 0o47431252
Hexadecimal 0x9E32AA

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 42 63 107 126 214 321 642 749 769 963 1,498 1,538 1,926 2,247 2,307 4,494 4,614 5,383 6,741 6,921 10,766 13,482 13,842 16,149 32,298 48,447 82,283 96,894 164,566 246,849 493,698 575,981 740,547 1,151,962 1,481,094 1,727,943 3,455,886 5,183,829 10,367,658

Collatz Trajectory (189 steps to reach 1)

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

10,367,658 5,183,829 15,551,488 7,775,744 3,887,872 1,943,936 971,968 485,984 242,992 121,496 60,748 30,374 15,187 45,562 22,781 68,344 34,172 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829

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