475,436

2² × 13 × 41 × 223

475,436 has the prime decomposition 2^2 × 13 × 41 × 223. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 41 × 223

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 921,984

Proper Divisor Sum 446,548

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #475429 ← → #475441

Radix Representation

Decimal	475436
Binary	1110100000100101100 (19 bits)
Octal	0o1640454
Hexadecimal	0x7412C

Divisor Catalog (24)

1 2 4 13 26 41 52 82 164 223 446 533 892 1,066 2,132 2,899 5,798 9,143 11,596 18,286 36,572 118,859 237,718 475,436

Collatz Trajectory (76 steps to reach 1)

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

475,436 237,718 118,859 356,578 178,289 534,868 267,434 133,717 401,152 200,576 100,288 50,144 25,072 12,536 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88

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