λ
Integer Codex

904,629

3 × 11 × 79 × 347
Deficient Odd Composite

For 904,629, the 16 positive divisors have a total of 1,336,320. Removing 904,629 leaves 431,691, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 11 × 79 × 347
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,336,320
Proper Divisor Sum 431,691
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #904627 ← → #904633

Radix Representation

Decimal 904629
Binary 11011100110110110101 (20 bits)
Octal 0o3346665
Hexadecimal 0xDCDB5

Divisor Catalog (16)

1 3 11 33 79 237 347 869 1,041 2,607 3,817 11,451 27,413 82,239 301,543 904,629

Collatz Trajectory (139 steps to reach 1)

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

904,629 2,713,888 1,356,944 678,472 339,236 169,618 84,809 254,428 127,214 63,607 190,822 95,411 286,234 143,117 429,352 214,676 107,338 53,669 161,008 80,504 40,252 20,126 10,063 30,190 15,095 45,286 22,643 67,930 33,965 101,896 50,948 25,474 12,737 38,212 19,106 9,553 28,660 14,330 7,165 21,496 10,748 5,374 2,687 8,062 4,031 12,094 6,047 18,142 9,071 27,214 13,607 40,822 20,411 61,234 30,617 91,852 45,926 22,963 68,890 34,445

More profiles

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