λ
Harmonic Matrix

5,809,797

32 × 7 × 92219
Deficient Odd Composite

5,809,797 has digital root 9. The neighboring primes are 5809757 and 5809829; its proper-divisor sum differs from the starting integer by -2,028,714.

Prime Factor Structure

Factorization String 3^2 × 7 × 92219
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,590,880
Proper Divisor Sum 3,781,083
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #5809757 ← → #5809829

Radix Representation

Decimal 5809797
Binary 10110001010011010000101 (23 bits)
Octal 0o26123205
Hexadecimal 0x58A685

Divisor Catalog (12)

1 3 7 9 21 63 92,219 276,657 645,533 829,971 1,936,599 5,809,797

Collatz Trajectory (227 steps to reach 1)

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

5,809,797 17,429,392 8,714,696 4,357,348 2,178,674 1,089,337 3,268,012 1,634,006 817,003 2,451,010 1,225,505 3,676,516 1,838,258 919,129 2,757,388 1,378,694 689,347 2,068,042 1,034,021 3,102,064 1,551,032 775,516 387,758 193,879 581,638 290,819 872,458 436,229 1,308,688 654,344 327,172 163,586 81,793 245,380 122,690 61,345 184,036 92,018 46,009 138,028 69,014 34,507 103,522 51,761 155,284 77,642 38,821 116,464 58,232 29,116 14,558 7,279 21,838 10,919 32,758 16,379 49,138 24,569 73,708 36,854

More profiles

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