λ
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Atlas › Integer Profiles › Node 9,856,672

9,856,672

25 × 7 × 79 × 557
Abundant Even Composite

9,856,672 factors as 2^5 × 7 × 79 × 557. Its 48 positive divisors give a proper-divisor sum of 12,641,888, so this integer is abundant. The Collatz stopping time is 57 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 79 × 557
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,498,560
Proper Divisor Sum 12,641,888
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9856633 ← → #9856697

Radix Representation

Decimal 9856672
Binary 100101100110011010100000 (24 bits)
Octal 0o45463240
Hexadecimal 0x9666A0

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 56 79 112 158 224 316 553 557 632 1,106 1,114 1,264 2,212 2,228 2,528 3,899 4,424 4,456 7,798 8,848 8,912 15,596 17,696 17,824 31,192 44,003 62,384 88,006 124,768 176,012 308,021 352,024 616,042 704,048 1,232,084 1,408,096 2,464,168 4,928,336 9,856,672

Collatz Trajectory (57 steps to reach 1)

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

9,856,672 4,928,336 2,464,168 1,232,084 616,042 308,021 924,064 462,032 231,016 115,508 57,754 28,877 86,632 43,316 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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