42,108,808

2³ × 7 × 751943

42,108,808 factors as 2^3 × 7 × 751943. Its 16 positive divisors give a proper-divisor sum of 48,124,472, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 751943

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 90,233,280

Proper Divisor Sum 48,124,472

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #42108743 ← → #42108811

Radix Representation

Decimal	42108808
Binary	10100000101000011110001000 (26 bits)
Octal	0o240503610
Hexadecimal	0x2828788

Divisor Catalog (16)

1 2 4 7 8 14 28 56 751,943 1,503,886 3,007,772 5,263,601 6,015,544 10,527,202 21,054,404 42,108,808

Collatz Trajectory (160 steps to reach 1)

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

42,108,808 21,054,404 10,527,202 5,263,601 15,790,804 7,895,402 3,947,701 11,843,104 5,921,552 2,960,776 1,480,388 740,194 370,097 1,110,292 555,146 277,573 832,720 416,360 208,180 104,090 52,045 156,136 78,068 39,034 19,517 58,552 29,276 14,638 7,319 21,958 10,979 32,938 16,469 49,408 24,704 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214

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