λ
Harmonic Matrix

861,592

23 × 107699
Deficient Even Composite

861,592 has digital root 4. The neighboring primes are 861589 and 861599; its proper-divisor sum differs from the starting integer by -107,684.

Prime Factor Structure

Factorization String 2^3 × 107699
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,615,500
Proper Divisor Sum 753,908
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #861589 ← → #861599

Radix Representation

Decimal 861592
Binary 11010010010110011000 (20 bits)
Octal 0o3222630
Hexadecimal 0xD2598

Divisor Catalog (8)

1 2 4 8 107,699 215,398 430,796 861,592

Collatz Trajectory (175 steps to reach 1)

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

861,592 430,796 215,398 107,699 323,098 161,549 484,648 242,324 121,162 60,581 181,744 90,872 45,436 22,718 11,359 34,078 17,039 51,118 25,559 76,678 38,339 115,018 57,509 172,528 86,264 43,132 21,566 10,783 32,350 16,175 48,526 24,263 72,790 36,395 109,186 54,593 163,780 81,890 40,945 122,836 61,418 30,709 92,128 46,064 23,032 11,516 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804

More profiles

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