λ
Harmonic Matrix

904,631

7 × 13 × 9941
Deficient Odd Composite

904,631 has digital root 5. The neighboring primes are 904627 and 904633; its proper-divisor sum differs from the starting integer by -695,758.

Prime Factor Structure

Factorization String 7 × 13 × 9941
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,113,504
Proper Divisor Sum 208,873
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #904627 ← → #904633

Radix Representation

Decimal 904631
Binary 11011100110110110111 (20 bits)
Octal 0o3346667
Hexadecimal 0xDCDB7

Divisor Catalog (8)

1 7 13 91 9,941 69,587 129,233 904,631

Collatz Trajectory (157 steps to reach 1)

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

904,631 2,713,894 1,356,947 4,070,842 2,035,421 6,106,264 3,053,132 1,526,566 763,283 2,289,850 1,144,925 3,434,776 1,717,388 858,694 429,347 1,288,042 644,021 1,932,064 966,032 483,016 241,508 120,754 60,377 181,132 90,566 45,283 135,850 67,925 203,776 101,888 50,944 25,472 12,736 6,368 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970

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