476,259

3 × 7 × 22679

476,259 factors as 3 × 7 × 22679. Its 8 positive divisors give a proper-divisor sum of 249,501, so this integer is deficient. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 3 × 7 × 22679

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 725,760

Proper Divisor Sum 249,501

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #476249 ← → #476279

Radix Representation

Decimal	476259
Binary	1110100010001100011 (19 bits)
Octal	0o1642143
Hexadecimal	0x74463

Divisor Catalog (8)

1 3 7 21 22,679 68,037 158,753 476,259

Collatz Trajectory (76 steps to reach 1)

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

476,259 1,428,778 714,389 2,143,168 1,071,584 535,792 267,896 133,948 66,974 33,487 100,462 50,231 150,694 75,347 226,042 113,021 339,064 169,532 84,766 42,383 127,150 63,575 190,726 95,363 286,090 143,045 429,136 214,568 107,284 53,642 26,821 80,464 40,232 20,116 10,058 5,029 15,088 7,544 3,772 1,886 943 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56 28 14

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