42,628,255

5 × 31 × 37 × 7433

42,628,255 factors as 5 × 31 × 37 × 7433. Its 16 positive divisors give a proper-divisor sum of 11,610,209, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 5 × 31 × 37 × 7433

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 54,238,464

Proper Divisor Sum 11,610,209

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #42628247 ← → #42628259

Radix Representation

Decimal	42628255
Binary	10100010100111010010011111 (26 bits)
Octal	0o242472237
Hexadecimal	0x28A749F

Divisor Catalog (16)

1 5 31 37 155 185 1,147 5,735 7,433 37,165 230,423 275,021 1,152,115 1,375,105 8,525,651 42,628,255

Collatz Trajectory (178 steps to reach 1)

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

42,628,255 127,884,766 63,942,383 191,827,150 95,913,575 287,740,726 143,870,363 431,611,090 215,805,545 647,416,636 323,708,318 161,854,159 485,562,478 242,781,239 728,343,718 364,171,859 1,092,515,578 546,257,789 1,638,773,368 819,386,684 409,693,342 204,846,671 614,540,014 307,270,007 921,810,022 460,905,011 1,382,715,034 691,357,517 2,074,072,552 1,037,036,276 518,518,138 259,259,069 777,777,208 388,888,604 194,444,302 97,222,151 291,666,454 145,833,227 437,499,682 218,749,841 656,249,524 328,124,762 164,062,381 492,187,144 246,093,572 123,046,786 61,523,393 184,570,180 92,285,090 46,142,545 138,427,636 69,213,818 34,606,909 103,820,728 51,910,364 25,955,182 12,977,591 38,932,774 19,466,387 58,399,162

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