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Atlas › Integer Profiles › Node 3,169,120

3,169,120

25 × 5 × 29 × 683
Abundant Even Composite

3,169,120 factors as 2^5 × 5 × 29 × 683. Its 48 positive divisors give a proper-divisor sum of 4,587,440, so this integer is abundant. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 29 × 683
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,756,560
Proper Divisor Sum 4,587,440
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3169109 ← → #3169121

Radix Representation

Decimal 3169120
Binary 1100000101101101100000 (22 bits)
Octal 0o14055540
Hexadecimal 0x305B60

Divisor Catalog (48)

1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 683 928 1,160 1,366 2,320 2,732 3,415 4,640 5,464 6,830 10,928 13,660 19,807 21,856 27,320 39,614 54,640 79,228 99,035 109,280 158,456 198,070 316,912 396,140 633,824 792,280 1,584,560 3,169,120

Collatz Trajectory (102 steps to reach 1)

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

3,169,120 1,584,560 792,280 396,140 198,070 99,035 297,106 148,553 445,660 222,830 111,415 334,246 167,123 501,370 250,685 752,056 376,028 188,014 94,007 282,022 141,011 423,034 211,517 634,552 317,276 158,638 79,319 237,958 118,979 356,938 178,469 535,408 267,704 133,852 66,926 33,463 100,390 50,195 150,586 75,293 225,880 112,940 56,470 28,235 84,706 42,353 127,060 63,530 31,765 95,296 47,648 23,824 11,912 5,956 2,978 1,489 4,468 2,234 1,117 3,352

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