42,902,468

2² × 7 × 1532231

42,902,468 factors as 2^2 × 7 × 1532231. Its 12 positive divisors give a proper-divisor sum of 42,902,524, so this integer is abundant. The Collatz stopping time is 297 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 1532231

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 85,804,992

Proper Divisor Sum 42,902,524

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #42902449 ← → #42902471

Radix Representation

Decimal	42902468
Binary	10100011101010001111000100 (26 bits)
Octal	0o243521704
Hexadecimal	0x28EA3C4

Divisor Catalog (12)

1 2 4 7 14 28 1,532,231 3,064,462 6,128,924 10,725,617 21,451,234 42,902,468

Collatz Trajectory (297 steps to reach 1)

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

42,902,468 21,451,234 10,725,617 32,176,852 16,088,426 8,044,213 24,132,640 12,066,320 6,033,160 3,016,580 1,508,290 754,145 2,262,436 1,131,218 565,609 1,696,828 848,414 424,207 1,272,622 636,311 1,908,934 954,467 2,863,402 1,431,701 4,295,104 2,147,552 1,073,776 536,888 268,444 134,222 67,111 201,334 100,667 302,002 151,001 453,004 226,502 113,251 339,754 169,877 509,632 254,816 127,408 63,704 31,852 15,926 7,963 23,890 11,945 35,836 17,918 8,959 26,878 13,439 40,318 20,159 60,478 30,239 90,718 45,359

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