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Atlas › Integer Profiles › Node 9,302,672

9,302,672

24 × 17 × 23 × 1487
Abundant Even Composite

9,302,672 factors as 2^4 × 17 × 23 × 1487. Its 40 positive divisors give a proper-divisor sum of 10,624,624, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 23 × 1487
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 19,927,296
Proper Divisor Sum 10,624,624
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9302669 ← → #9302677

Radix Representation

Decimal 9302672
Binary 100011011111001010010000 (24 bits)
Octal 0o43371220
Hexadecimal 0x8DF290

Divisor Catalog (40)

1 2 4 8 16 17 23 34 46 68 92 136 184 272 368 391 782 1,487 1,564 2,974 3,128 5,948 6,256 11,896 23,792 25,279 34,201 50,558 68,402 101,116 136,804 202,232 273,608 404,464 547,216 581,417 1,162,834 2,325,668 4,651,336 9,302,672

Collatz Trajectory (101 steps to reach 1)

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

9,302,672 4,651,336 2,325,668 1,162,834 581,417 1,744,252 872,126 436,063 1,308,190 654,095 1,962,286 981,143 2,943,430 1,471,715 4,415,146 2,207,573 6,622,720 3,311,360 1,655,680 827,840 413,920 206,960 103,480 51,740 25,870 12,935 38,806 19,403 58,210 29,105 87,316 43,658 21,829 65,488 32,744 16,372 8,186 4,093 12,280 6,140 3,070 1,535 4,606 2,303 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495 52,486 26,243 78,730 39,365 118,096 59,048

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