λ
Integer Codex

479,402

2 × 7 × 112 × 283
Deficient Even Composite

For 479,402, the 24 positive divisors have a total of 906,528. Removing 479,402 leaves 427,126, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 7 × 11^2 × 283
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 906,528
Proper Divisor Sum 427,126
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #479387 ← → #479419

Radix Representation

Decimal 479402
Binary 1110101000010101010 (19 bits)
Octal 0o1650252
Hexadecimal 0x750AA

Divisor Catalog (24)

1 2 7 11 14 22 77 121 154 242 283 566 847 1,694 1,981 3,113 3,962 6,226 21,791 34,243 43,582 68,486 239,701 479,402

Collatz Trajectory (169 steps to reach 1)

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

479,402 239,701 719,104 359,552 179,776 89,888 44,944 22,472 11,236 5,618 2,809 8,428 4,214 2,107 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304

More profiles

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