λ
Harmonic Matrix

5,785,808

24 × 7 × 51659
Abundant Even Composite

5,785,808 has digital root 5. The neighboring primes are 5785807 and 5785837; its proper-divisor sum differs from the starting integer by 1,240,064.

Prime Factor Structure

Factorization String 2^4 × 7 × 51659
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 12,811,680
Proper Divisor Sum 7,025,872
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #5785807 ← → #5785837

Radix Representation

Decimal 5785808
Binary 10110000100100011010000 (23 bits)
Octal 0o26044320
Hexadecimal 0x5848D0

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 51,659 103,318 206,636 361,613 413,272 723,226 826,544 1,446,452 2,892,904 5,785,808

Collatz Trajectory (121 steps to reach 1)

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

5,785,808 2,892,904 1,446,452 723,226 361,613 1,084,840 542,420 271,210 135,605 406,816 203,408 101,704 50,852 25,426 12,713 38,140 19,070 9,535 28,606 14,303 42,910 21,455 64,366 32,183 96,550 48,275 144,826 72,413 217,240 108,620 54,310 27,155 81,466 40,733 122,200 61,100 30,550 15,275 45,826 22,913 68,740 34,370 17,185 51,556 25,778 12,889 38,668 19,334 9,667 29,002 14,501 43,504 21,752 10,876 5,438 2,719 8,158 4,079 12,238 6,119

More profiles

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