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33,679,624

23 × 113 × 3163
Abundant Even Composite

33,679,624 factors as 2^3 × 11^3 × 3163. Its 32 positive divisors give a proper-divisor sum of 35,801,816, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^3 × 11^3 × 3163
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 69,481,440
Proper Divisor Sum 35,801,816
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #33679559 ← → #33679649

Radix Representation

Decimal 33679624
Binary 10000000011110100100001000 (26 bits)
Octal 0o200364410
Hexadecimal 0x201E908

Divisor Catalog (32)

1 2 4 8 11 22 44 88 121 242 484 968 1,331 2,662 3,163 5,324 6,326 10,648 12,652 25,304 34,793 69,586 139,172 278,344 382,723 765,446 1,530,892 3,061,784 4,209,953 8,419,906 16,839,812 33,679,624

Collatz Trajectory (157 steps to reach 1)

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

33,679,624 16,839,812 8,419,906 4,209,953 12,629,860 6,314,930 3,157,465 9,472,396 4,736,198 2,368,099 7,104,298 3,552,149 10,656,448 5,328,224 2,664,112 1,332,056 666,028 333,014 166,507 499,522 249,761 749,284 374,642 187,321 561,964 280,982 140,491 421,474 210,737 632,212 316,106 158,053 474,160 237,080 118,540 59,270 29,635 88,906 44,453 133,360 66,680 33,340 16,670 8,335 25,006 12,503 37,510 18,755 56,266 28,133 84,400 42,200 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935

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