λ
Prime Ledger

181,767

3 × 60589
Deficient Odd Composite

181,767 has the prime decomposition 3 × 60589. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 60589
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 242,360
Proper Divisor Sum 60,593
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #181763 ← → #181777

Radix Representation

Decimal 181767
Binary 101100011000000111 (18 bits)
Octal 0o543007
Hexadecimal 0x2C607

Divisor Catalog (4)

1 3 60,589 181,767

Collatz Trajectory (165 steps to reach 1)

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

181,767 545,302 272,651 817,954 408,977 1,226,932 613,466 306,733 920,200 460,100 230,050 115,025 345,076 172,538 86,269 258,808 129,404 64,702 32,351 97,054 48,527 145,582 72,791 218,374 109,187 327,562 163,781 491,344 245,672 122,836 61,418 30,709 92,128 46,064 23,032 11,516 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524

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