473,665

5 × 61 × 1553

473,665 factors as 5 × 61 × 1553. Its 8 positive divisors give a proper-divisor sum of 104,423, so this integer is deficient. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 5 × 61 × 1553

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 578,088

Proper Divisor Sum 104,423

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #473659 ← → #473719

Radix Representation

Decimal	473665
Binary	1110011101001000001 (19 bits)
Octal	0o1635101
Hexadecimal	0x73A41

Divisor Catalog (8)

1 5 61 305 1,553 7,765 94,733 473,665

Collatz Trajectory (76 steps to reach 1)

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

473,665 1,420,996 710,498 355,249 1,065,748 532,874 266,437 799,312 399,656 199,828 99,914 49,957 149,872 74,936 37,468 18,734 9,367 28,102 14,051 42,154 21,077 63,232 31,616 15,808 7,904 3,952 1,976 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88

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