42,500,482

2 × 83 × 503 × 509

42,500,482 factors as 2 × 83 × 503 × 509. Its 16 positive divisors give a proper-divisor sum of 22,273,598, so this integer is deficient. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2 × 83 × 503 × 509

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 64,774,080

Proper Divisor Sum 22,273,598

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #42500443 ← → #42500483

Radix Representation

Decimal	42500482
Binary	10100010001000000110000010 (26 bits)
Octal	0o242100602
Hexadecimal	0x2888182

Divisor Catalog (16)

1 2 83 166 503 509 1,006 1,018 41,749 42,247 83,498 84,494 256,027 512,054 21,250,241 42,500,482

Collatz Trajectory (72 steps to reach 1)

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

42,500,482 21,250,241 63,750,724 31,875,362 15,937,681 47,813,044 23,906,522 11,953,261 35,859,784 17,929,892 8,964,946 4,482,473 13,447,420 6,723,710 3,361,855 10,085,566 5,042,783 15,128,350 7,564,175 22,692,526 11,346,263 34,038,790 17,019,395 51,058,186 25,529,093 76,587,280 38,293,640 19,146,820 9,573,410 4,786,705 14,360,116 7,180,058 3,590,029 10,770,088 5,385,044 2,692,522 1,346,261 4,038,784 2,019,392 1,009,696 504,848 252,424 126,212 63,106 31,553 94,660 47,330 23,665 70,996 35,498 17,749 53,248 26,624 13,312 6,656 3,328 1,664 832 416 208

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