42,100,132

2² × 1993 × 5281

42,100,132 factors as 2^2 × 1993 × 5281. Its 12 positive divisors give a proper-divisor sum of 31,626,024, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^2 × 1993 × 5281

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 73,726,156

Proper Divisor Sum 31,626,024

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #42100111 ← → #42100151

Radix Representation

Decimal	42100132
Binary	10100000100110010110100100 (26 bits)
Octal	0o240462644
Hexadecimal	0x28265A4

Divisor Catalog (12)

1 2 4 1,993 3,986 5,281 7,972 10,562 21,124 10,525,033 21,050,066 42,100,132

Collatz Trajectory (160 steps to reach 1)

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

42,100,132 21,050,066 10,525,033 31,575,100 15,787,550 7,893,775 23,681,326 11,840,663 35,521,990 17,760,995 53,282,986 26,641,493 79,924,480 39,962,240 19,981,120 9,990,560 4,995,280 2,497,640 1,248,820 624,410 312,205 936,616 468,308 234,154 117,077 351,232 175,616 87,808 43,904 21,952 10,976 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214

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