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Atlas › Integer Profiles › Node 74,509,672

74,509,672

23 × 71 × 233 × 563
Deficient Even Composite

74,509,672 factors as 2^3 × 71 × 233 × 563. Its 32 positive divisors give a proper-divisor sum of 68,024,408, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^3 × 71 × 233 × 563
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 142,534,080
Proper Divisor Sum 68,024,408
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #74509663 ← → #74509693

Radix Representation

Decimal 74509672
Binary 100011100001110110101101000 (27 bits)
Octal 0o434166550
Hexadecimal 0x470ED68

Divisor Catalog (32)

1 2 4 8 71 142 233 284 466 563 568 932 1,126 1,864 2,252 4,504 16,543 33,086 39,973 66,172 79,946 131,179 132,344 159,892 262,358 319,784 524,716 1,049,432 9,313,709 18,627,418 37,254,836 74,509,672

Collatz Trajectory (91 steps to reach 1)

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

74,509,672 37,254,836 18,627,418 9,313,709 27,941,128 13,970,564 6,985,282 3,492,641 10,477,924 5,238,962 2,619,481 7,858,444 3,929,222 1,964,611 5,893,834 2,946,917 8,840,752 4,420,376 2,210,188 1,105,094 552,547 1,657,642 828,821 2,486,464 1,243,232 621,616 310,808 155,404 77,702 38,851 116,554 58,277 174,832 87,416 43,708 21,854 10,927 32,782 16,391 49,174 24,587 73,762 36,881 110,644 55,322 27,661 82,984 41,492 20,746 10,373 31,120 15,560 7,780 3,890 1,945 5,836 2,918 1,459 4,378 2,189

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