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83,270,752

25 × 1009 × 2579
Deficient Even Composite

83,270,752 factors as 2^5 × 1009 × 2579. Its 24 positive divisors give a proper-divisor sum of 80,894,648, so this integer is deficient. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^5 × 1009 × 2579
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 164,165,400
Proper Divisor Sum 80,894,648
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #83270731 ← → #83270753

Radix Representation

Decimal 83270752
Binary 100111101101001110001100000 (27 bits)
Octal 0o475516140
Hexadecimal 0x4F69C60

Divisor Catalog (24)

1 2 4 8 16 32 1,009 2,018 2,579 4,036 5,158 8,072 10,316 16,144 20,632 32,288 41,264 82,528 2,602,211 5,204,422 10,408,844 20,817,688 41,635,376 83,270,752

Collatz Trajectory (86 steps to reach 1)

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

83,270,752 41,635,376 20,817,688 10,408,844 5,204,422 2,602,211 7,806,634 3,903,317 11,709,952 5,854,976 2,927,488 1,463,744 731,872 365,936 182,968 91,484 45,742 22,871 68,614 34,307 102,922 51,461 154,384 77,192 38,596 19,298 9,649 28,948 14,474 7,237 21,712 10,856 5,428 2,714 1,357 4,072 2,036 1,018 509 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410

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