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Atlas › Integer Profiles › Node 9,739,044

9,739,044

22 × 32 × 72 × 5521
Abundant Even Composite

9,739,044 factors as 2^2 × 3^2 × 7^2 × 5521. Its 54 positive divisors give a proper-divisor sum of 18,903,570, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7^2 × 5521
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 28,642,614
Proper Divisor Sum 18,903,570
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9739031 ← → #9739057

Radix Representation

Decimal 9739044
Binary 100101001001101100100100 (24 bits)
Octal 0o45115444
Hexadecimal 0x949B24

Divisor Catalog (54)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1,764 5,521 11,042 16,563 22,084 33,126 38,647 49,689 66,252 77,294 99,378 115,941 154,588 198,756 231,882 270,529 347,823 463,764 541,058 695,646 811,587 1,082,116 1,391,292 1,623,174 2,434,761 3,246,348 4,869,522 9,739,044

Collatz Trajectory (207 steps to reach 1)

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

9,739,044 4,869,522 2,434,761 7,304,284 3,652,142 1,826,071 5,478,214 2,739,107 8,217,322 4,108,661 12,325,984 6,162,992 3,081,496 1,540,748 770,374 385,187 1,155,562 577,781 1,733,344 866,672 433,336 216,668 108,334 54,167 162,502 81,251 243,754 121,877 365,632 182,816 91,408 45,704 22,852 11,426 5,713 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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