42,106,956

2² × 3 × 29 × 120997

Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 120997

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 101,638,320

Proper Divisor Sum 59,531,364

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #42106919 ← → #42106957

Radix Representation

Decimal	42106956
Binary	10100000101000000001001100 (26 bits)
Octal	0o240500114
Hexadecimal	0x282804C

Divisor Catalog (24)

Collatz Trajectory (178 steps to reach 1)

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

42,106,956 21,053,478 10,526,739 31,580,218 15,790,109 47,370,328 23,685,164 11,842,582 5,921,291 17,763,874 8,881,937 26,645,812 13,322,906 6,661,453 19,984,360 9,992,180 4,996,090 2,498,045 7,494,136 3,747,068 1,873,534 936,767 2,810,302 1,405,151 4,215,454 2,107,727 6,323,182 3,161,591 9,484,774 4,742,387 14,227,162 7,113,581 21,340,744 10,670,372 5,335,186 2,667,593 8,002,780 4,001,390 2,000,695 6,002,086 3,001,043 9,003,130 4,501,565 13,504,696 6,752,348 3,376,174 1,688,087 5,064,262 2,532,131 7,596,394 3,798,197 11,394,592 5,697,296 2,848,648 1,424,324 712,162 356,081 1,068,244 534,122 267,061

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