λ
Integer Codex

317,672

23 × 39709
Deficient Even Composite

For 317,672, the 8 positive divisors have a total of 595,650. Removing 317,672 leaves 277,978, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 39709
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 595,650
Proper Divisor Sum 277,978
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #317671 ← → #317693

Radix Representation

Decimal 317672
Binary 1001101100011101000 (19 bits)
Octal 0o1154350
Hexadecimal 0x4D8E8

Divisor Catalog (8)

1 2 4 8 39,709 79,418 158,836 317,672

Collatz Trajectory (140 steps to reach 1)

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

317,672 158,836 79,418 39,709 119,128 59,564 29,782 14,891 44,674 22,337 67,012 33,506 16,753 50,260 25,130 12,565 37,696 18,848 9,424 4,712 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350

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