42,100,545

3 × 5 × 353 × 7951

42,100,545 factors as 3 × 5 × 353 × 7951. Its 16 positive divisors give a proper-divisor sum of 25,459,647, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 3 × 5 × 353 × 7951

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 67,560,192

Proper Divisor Sum 25,459,647

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #42100543 ← → #42100549

Radix Representation

Decimal	42100545
Binary	10100000100110011101000001 (26 bits)
Octal	0o240463501
Hexadecimal	0x2826741

Divisor Catalog (16)

1 3 5 15 353 1,059 1,765 5,295 7,951 23,853 39,755 119,265 2,806,703 8,420,109 14,033,515 42,100,545

Collatz Trajectory (178 steps to reach 1)

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

42,100,545 126,301,636 63,150,818 31,575,409 94,726,228 47,363,114 23,681,557 71,044,672 35,522,336 17,761,168 8,880,584 4,440,292 2,220,146 1,110,073 3,330,220 1,665,110 832,555 2,497,666 1,248,833 3,746,500 1,873,250 936,625 2,809,876 1,404,938 702,469 2,107,408 1,053,704 526,852 263,426 131,713 395,140 197,570 98,785 296,356 148,178 74,089 222,268 111,134 55,567 166,702 83,351 250,054 125,027 375,082 187,541 562,624 281,312 140,656 70,328 35,164 17,582 8,791 26,374 13,187 39,562 19,781 59,344 29,672 14,836 7,418

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