λ
Integer Codex

688,074

2 × 3 × 114679
Abundant Even Composite

For 688,074, the 8 positive divisors have a total of 1,376,160. Removing 688,074 leaves 688,086, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 114679
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,376,160
Proper Divisor Sum 688,086
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #688073 ← → #688087

Radix Representation

Decimal 688074
Binary 10100111111111001010 (20 bits)
Octal 0o2477712
Hexadecimal 0xA7FCA

Divisor Catalog (8)

1 2 3 6 114,679 229,358 344,037 688,074

Collatz Trajectory (198 steps to reach 1)

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

688,074 344,037 1,032,112 516,056 258,028 129,014 64,507 193,522 96,761 290,284 145,142 72,571 217,714 108,857 326,572 163,286 81,643 244,930 122,465 367,396 183,698 91,849 275,548 137,774 68,887 206,662 103,331 309,994 154,997 464,992 232,496 116,248 58,124 29,062 14,531 43,594 21,797 65,392 32,696 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367

More profiles

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