478,761

3 × 29 × 5503

478,761 factors as 3 × 29 × 5503. Its 8 positive divisors give a proper-divisor sum of 181,719, so this integer is deficient. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 3 × 29 × 5503

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 660,480

Proper Divisor Sum 181,719

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #478747 ← → #478763

Radix Representation

Decimal	478761
Binary	1110100111000101001 (19 bits)
Octal	0o1647051
Hexadecimal	0x74E29

Divisor Catalog (8)

1 3 29 87 5,503 16,509 159,587 478,761

Collatz Trajectory (213 steps to reach 1)

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

478,761 1,436,284 718,142 359,071 1,077,214 538,607 1,615,822 807,911 2,423,734 1,211,867 3,635,602 1,817,801 5,453,404 2,726,702 1,363,351 4,090,054 2,045,027 6,135,082 3,067,541 9,202,624 4,601,312 2,300,656 1,150,328 575,164 287,582 143,791 431,374 215,687 647,062 323,531 970,594 485,297 1,455,892 727,946 363,973 1,091,920 545,960 272,980 136,490 68,245 204,736 102,368 51,184 25,592 12,796 6,398 3,199 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348

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