λ
Harmonic Matrix

864,980

22 × 5 × 61 × 709
Abundant Even Composite

864,980 has digital root 8. The neighboring primes are 864979 and 864989; its proper-divisor sum differs from the starting integer by 118,880.

Prime Factor Structure

Factorization String 2^2 × 5 × 61 × 709
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,848,840
Proper Divisor Sum 983,860
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #864979 ← → #864989

Radix Representation

Decimal 864980
Binary 11010011001011010100 (20 bits)
Octal 0o3231324
Hexadecimal 0xD32D4

Divisor Catalog (24)

1 2 4 5 10 20 61 122 244 305 610 709 1,220 1,418 2,836 3,545 7,090 14,180 43,249 86,498 172,996 216,245 432,490 864,980

Collatz Trajectory (43 steps to reach 1)

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

864,980 432,490 216,245 648,736 324,368 162,184 81,092 40,546 20,273 60,820 30,410 15,205 45,616 22,808 11,404 5,702 2,851 8,554 4,277 12,832 6,416 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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