λ
Prime Ledger

181,013

7 × 19 × 1361
Deficient Odd Composite

181,013 has the prime decomposition 7 × 19 × 1361. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 19 × 1361
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 217,920
Proper Divisor Sum 36,907
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #181003 ← → #181019

Radix Representation

Decimal 181013
Binary 101100001100010101 (18 bits)
Octal 0o541425
Hexadecimal 0x2C315

Divisor Catalog (8)

1 7 19 133 1,361 9,527 25,859 181,013

Collatz Trajectory (116 steps to reach 1)

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

181,013 543,040 271,520 135,760 67,880 33,940 16,970 8,485 25,456 12,728 6,364 3,182 1,591 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151

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