λ
Integer Codex

679,124

22 × 412 × 101
Deficient Even Composite

For 679,124, the 18 positive divisors have a total of 1,230,222. Removing 679,124 leaves 551,098, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 41^2 × 101
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 1,230,222
Proper Divisor Sum 551,098
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #679123 ← → #679127

Radix Representation

Decimal 679124
Binary 10100101110011010100 (20 bits)
Octal 0o2456324
Hexadecimal 0xA5CD4

Divisor Catalog (18)

1 2 4 41 82 101 164 202 404 1,681 3,362 4,141 6,724 8,282 16,564 169,781 339,562 679,124

Collatz Trajectory (105 steps to reach 1)

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

679,124 339,562 169,781 509,344 254,672 127,336 63,668 31,834 15,917 47,752 23,876 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722

More profiles

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