471,409

19 × 43 × 577

471,409 factors as 19 × 43 × 577. Its 8 positive divisors give a proper-divisor sum of 37,231, so this integer is deficient. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 19 × 43 × 577

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 508,640

Proper Divisor Sum 37,231

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #471407 ← → #471439

Radix Representation

Decimal	471409
Binary	1110011000101110001 (19 bits)
Octal	0o1630561
Hexadecimal	0x73171

Divisor Catalog (8)

1 19 43 577 817 10,963 24,811 471,409

Collatz Trajectory (76 steps to reach 1)

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

471,409 1,414,228 707,114 353,557 1,060,672 530,336 265,168 132,584 66,292 33,146 16,573 49,720 24,860 12,430 6,215 18,646 9,323 27,970 13,985 41,956 20,978 10,489 31,468 15,734 7,867 23,602 11,801 35,404 17,702 8,851 26,554 13,277 39,832 19,916 9,958 4,979 14,938 7,469 22,408 11,204 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14

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