λ
Prime Ledger

180,991

241 × 751
Deficient Odd Composite

180,991 has the prime decomposition 241 × 751. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 241 × 751
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 181,984
Proper Divisor Sum 993
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #180959 ← → #181001

Radix Representation

Decimal 180991
Binary 101100001011111111 (18 bits)
Octal 0o541377
Hexadecimal 0x2C2FF

Divisor Catalog (4)

1 241 751 180,991

Collatz Trajectory (103 steps to reach 1)

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

180,991 542,974 271,487 814,462 407,231 1,221,694 610,847 1,832,542 916,271 2,748,814 1,374,407 4,123,222 2,061,611 6,184,834 3,092,417 9,277,252 4,638,626 2,319,313 6,957,940 3,478,970 1,739,485 5,218,456 2,609,228 1,304,614 652,307 1,956,922 978,461 2,935,384 1,467,692 733,846 366,923 1,100,770 550,385 1,651,156 825,578 412,789 1,238,368 619,184 309,592 154,796 77,398 38,699 116,098 58,049 174,148 87,074 43,537 130,612 65,306 32,653 97,960 48,980 24,490 12,245 36,736 18,368 9,184 4,592 2,296 1,148

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