λ
Harmonic Matrix

24,985

5 × 19 × 263
Deficient Odd Composite

24,985 has digital root 1. The neighboring primes are 24979 and 24989; its proper-divisor sum differs from the starting integer by -18,290.

Prime Factor Structure

Factorization String 5 × 19 × 263
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 31,680
Proper Divisor Sum 6,695
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #24979 ← → #24989

Radix Representation

Decimal 24985
Binary 110000110011001 (15 bits)
Octal 0o60631
Hexadecimal 0x6199

Divisor Catalog (8)

1 5 19 95 263 1,315 4,997 24,985

Collatz Trajectory (64 steps to reach 1)

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

24,985 74,956 37,478 18,739 56,218 28,109 84,328 42,164 21,082 10,541 31,624 15,812 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5

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