λ
Prime Ledger

113,671

71 × 1601
Deficient Odd Composite

113,671 has the prime decomposition 71 × 1601. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 71 × 1601
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 115,344
Proper Divisor Sum 1,673
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #113657 ← → #113683

Radix Representation

Decimal 113671
Binary 11011110000000111 (17 bits)
Octal 0o336007
Hexadecimal 0x1BC07

Divisor Catalog (4)

1 71 1,601 113,671

Collatz Trajectory (154 steps to reach 1)

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

113,671 341,014 170,507 511,522 255,761 767,284 383,642 191,821 575,464 287,732 143,866 71,933 215,800 107,900 53,950 26,975 80,926 40,463 121,390 60,695 182,086 91,043 273,130 136,565 409,696 204,848 102,424 51,212 25,606 12,803 38,410 19,205 57,616 28,808 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728

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