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Atlas › Integer Profiles › Node 9,955,736

9,955,736

23 × 7 × 139 × 1279
Abundant Even Composite

9,955,736 factors as 2^3 × 7 × 139 × 1279. Its 32 positive divisors give a proper-divisor sum of 11,548,264, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 139 × 1279
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,504,000
Proper Divisor Sum 11,548,264
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #9955723 ← → #9955739

Radix Representation

Decimal 9955736
Binary 100101111110100110011000 (24 bits)
Octal 0o45764630
Hexadecimal 0x97E998

Divisor Catalog (32)

1 2 4 7 8 14 28 56 139 278 556 973 1,112 1,279 1,946 2,558 3,892 5,116 7,784 8,953 10,232 17,906 35,812 71,624 177,781 355,562 711,124 1,244,467 1,422,248 2,488,934 4,977,868 9,955,736

Collatz Trajectory (137 steps to reach 1)

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

9,955,736 4,977,868 2,488,934 1,244,467 3,733,402 1,866,701 5,600,104 2,800,052 1,400,026 700,013 2,100,040 1,050,020 525,010 262,505 787,516 393,758 196,879 590,638 295,319 885,958 442,979 1,328,938 664,469 1,993,408 996,704 498,352 249,176 124,588 62,294 31,147 93,442 46,721 140,164 70,082 35,041 105,124 52,562 26,281 78,844 39,422 19,711 59,134 29,567 88,702 44,351 133,054 66,527 199,582 99,791 299,374 149,687 449,062 224,531 673,594 336,797 1,010,392 505,196 252,598 126,299 378,898

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