λ
Harmonic Matrix

673,631

7 × 96233
Deficient Odd Composite

673,631 has digital root 8. The neighboring primes are 673619 and 673637; its proper-divisor sum differs from the starting integer by -577,390.

Prime Factor Structure

Factorization String 7 × 96233
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 769,872
Proper Divisor Sum 96,241
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #673619 ← → #673637

Radix Representation

Decimal 673631
Binary 10100100011101011111 (20 bits)
Octal 0o2443537
Hexadecimal 0xA475F

Divisor Catalog (4)

1 7 96,233 673,631

Collatz Trajectory (185 steps to reach 1)

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

673,631 2,020,894 1,010,447 3,031,342 1,515,671 4,547,014 2,273,507 6,820,522 3,410,261 10,230,784 5,115,392 2,557,696 1,278,848 639,424 319,712 159,856 79,928 39,964 19,982 9,991 29,974 14,987 44,962 22,481 67,444 33,722 16,861 50,584 25,292 12,646 6,323 18,970 9,485 28,456 14,228 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283

More profiles

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