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3,755,992

23 × 23 × 137 × 149
Deficient Even Composite

3,755,992 factors as 2^3 × 23 × 137 × 149. Its 32 positive divisors give a proper-divisor sum of 3,696,008, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 137 × 149
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,452,000
Proper Divisor Sum 3,696,008
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #3755959 ← → #3756001

Radix Representation

Decimal 3755992
Binary 1110010100111111011000 (22 bits)
Octal 0o16247730
Hexadecimal 0x394FD8

Divisor Catalog (32)

1 2 4 8 23 46 92 137 149 184 274 298 548 596 1,096 1,192 3,151 3,427 6,302 6,854 12,604 13,708 20,413 25,208 27,416 40,826 81,652 163,304 469,499 938,998 1,877,996 3,755,992

Collatz Trajectory (110 steps to reach 1)

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

3,755,992 1,877,996 938,998 469,499 1,408,498 704,249 2,112,748 1,056,374 528,187 1,584,562 792,281 2,376,844 1,188,422 594,211 1,782,634 891,317 2,673,952 1,336,976 668,488 334,244 167,122 83,561 250,684 125,342 62,671 188,014 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

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