λ
Harmonic Matrix

182,670

2 × 3 × 5 × 6089
Abundant Even Composite

182,670 has digital root 6. The neighboring primes are 182659 and 182681; its proper-divisor sum differs from the starting integer by 73,140.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 6089
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 438,480
Proper Divisor Sum 255,810
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #182659 ← → #182681

Radix Representation

Decimal 182670
Binary 101100100110001110 (18 bits)
Octal 0o544616
Hexadecimal 0x2C98E

Divisor Catalog (16)

1 2 3 5 6 10 15 30 6,089 12,178 18,267 30,445 36,534 60,890 91,335 182,670

Collatz Trajectory (72 steps to reach 1)

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

182,670 91,335 274,006 137,003 411,010 205,505 616,516 308,258 154,129 462,388 231,194 115,597 346,792 173,396 86,698 43,349 130,048 65,024 32,512 16,256 8,128 4,064 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34

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