λ
Harmonic Matrix

182,578

2 × 11 × 43 × 193
Deficient Even Composite

182,578 has digital root 4. The neighboring primes are 182561 and 182579; its proper-divisor sum differs from the starting integer by -57,860.

Prime Factor Structure

Factorization String 2 × 11 × 43 × 193
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 307,296
Proper Divisor Sum 124,718
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #182561 ← → #182579

Radix Representation

Decimal 182578
Binary 101100100100110010 (18 bits)
Octal 0o544462
Hexadecimal 0x2C932

Divisor Catalog (16)

1 2 11 22 43 86 193 386 473 946 2,123 4,246 8,299 16,598 91,289 182,578

Collatz Trajectory (72 steps to reach 1)

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

182,578 91,289 273,868 136,934 68,467 205,402 102,701 308,104 154,052 77,026 38,513 115,540 57,770 28,885 86,656 43,328 21,664 10,832 5,416 2,708 1,354 677 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

More profiles

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