λ
Harmonic Matrix

692,649

32 × 76961
Deficient Odd Composite

692,649 has digital root 9. The neighboring primes are 692647 and 692651; its proper-divisor sum differs from the starting integer by -384,792.

Prime Factor Structure

Factorization String 3^2 × 76961
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,000,506
Proper Divisor Sum 307,857
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #692647 ← → #692651

Radix Representation

Decimal 692649
Binary 10101001000110101001 (20 bits)
Octal 0o2510651
Hexadecimal 0xA91A9

Divisor Catalog (6)

1 3 9 76,961 230,883 692,649

Collatz Trajectory (229 steps to reach 1)

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

692,649 2,077,948 1,038,974 519,487 1,558,462 779,231 2,337,694 1,168,847 3,506,542 1,753,271 5,259,814 2,629,907 7,889,722 3,944,861 11,834,584 5,917,292 2,958,646 1,479,323 4,437,970 2,218,985 6,656,956 3,328,478 1,664,239 4,992,718 2,496,359 7,489,078 3,744,539 11,233,618 5,616,809 16,850,428 8,425,214 4,212,607 12,637,822 6,318,911 18,956,734 9,478,367 28,435,102 14,217,551 42,652,654 21,326,327 63,978,982 31,989,491 95,968,474 47,984,237 143,952,712 71,976,356 35,988,178 17,994,089 53,982,268 26,991,134 13,495,567 40,486,702 20,243,351 60,730,054 30,365,027 91,095,082 45,547,541 136,642,624 68,321,312 34,160,656

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