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Atlas › Integer Profiles › Node 9,739,136

9,739,136

27 × 11 × 6917
Abundant Even Composite

9,739,136 factors as 2^7 × 11 × 6917. Its 32 positive divisors give a proper-divisor sum of 11,429,944, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^7 × 11 × 6917
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,169,080
Proper Divisor Sum 11,429,944
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9739133 ← → #9739151

Radix Representation

Decimal 9739136
Binary 100101001001101110000000 (24 bits)
Octal 0o45115600
Hexadecimal 0x949B80

Divisor Catalog (32)

1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1,408 6,917 13,834 27,668 55,336 76,087 110,672 152,174 221,344 304,348 442,688 608,696 885,376 1,217,392 2,434,784 4,869,568 9,739,136

Collatz Trajectory (207 steps to reach 1)

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

9,739,136 4,869,568 2,434,784 1,217,392 608,696 304,348 152,174 76,087 228,262 114,131 342,394 171,197 513,592 256,796 128,398 64,199 192,598 96,299 288,898 144,449 433,348 216,674 108,337 325,012 162,506 81,253 243,760 121,880 60,940 30,470 15,235 45,706 22,853 68,560 34,280 17,140 8,570 4,285 12,856 6,428 3,214 1,607 4,822 2,411 7,234 3,617 10,852 5,426 2,713 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718

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