λ
Harmonic Matrix

486,820

22 × 5 × 101 × 241
Abundant Even Composite

486,820 has digital root 1. The neighboring primes are 486817 and 486821; its proper-divisor sum differs from the starting integer by 63,088.

Prime Factor Structure

Factorization String 2^2 × 5 × 101 × 241
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,036,728
Proper Divisor Sum 549,908
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #486817 ← → #486821

Radix Representation

Decimal 486820
Binary 1110110110110100100 (19 bits)
Octal 0o1666644
Hexadecimal 0x76DA4

Divisor Catalog (24)

1 2 4 5 10 20 101 202 241 404 482 505 964 1,010 1,205 2,020 2,410 4,820 24,341 48,682 97,364 121,705 243,410 486,820

Collatz Trajectory (63 steps to reach 1)

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

486,820 243,410 121,705 365,116 182,558 91,279 273,838 136,919 410,758 205,379 616,138 308,069 924,208 462,104 231,052 115,526 57,763 173,290 86,645 259,936 129,968 64,984 32,492 16,246 8,123 24,370 12,185 36,556 18,278 9,139 27,418 13,709 41,128 20,564 10,282 5,141 15,424 7,712 3,856 1,928 964 482 241 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16

More profiles

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