λ
Integer Codex

313,330

2 × 5 × 31333
Deficient Even Composite

For 313,330, the 8 positive divisors have a total of 564,012. Removing 313,330 leaves 250,682, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 5 × 31333
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 564,012
Proper Divisor Sum 250,682
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #313321 ← → #313331

Radix Representation

Decimal 313330
Binary 1001100011111110010 (19 bits)
Octal 0o1143762
Hexadecimal 0x4C7F2

Divisor Catalog (8)

1 2 5 10 31,333 62,666 156,665 313,330

Collatz Trajectory (171 steps to reach 1)

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

313,330 156,665 469,996 234,998 117,499 352,498 176,249 528,748 264,374 132,187 396,562 198,281 594,844 297,422 148,711 446,134 223,067 669,202 334,601 1,003,804 501,902 250,951 752,854 376,427 1,129,282 564,641 1,693,924 846,962 423,481 1,270,444 635,222 317,611 952,834 476,417 1,429,252 714,626 357,313 1,071,940 535,970 267,985 803,956 401,978 200,989 602,968 301,484 150,742 75,371 226,114 113,057 339,172 169,586 84,793 254,380 127,190 63,595 190,786 95,393 286,180 143,090 71,545

More profiles

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