λ
Prime Ledger

107,689

113 × 953
Deficient Odd Composite

107,689 has the prime decomposition 113 × 953. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 113 × 953
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 108,756
Proper Divisor Sum 1,067
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #107687 ← → #107693

Radix Representation

Decimal 107689
Binary 11010010010101001 (17 bits)
Octal 0o322251
Hexadecimal 0x1A4A9

Divisor Catalog (4)

1 113 953 107,689

Collatz Trajectory (216 steps to reach 1)

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

107,689 323,068 161,534 80,767 242,302 121,151 363,454 181,727 545,182 272,591 817,774 408,887 1,226,662 613,331 1,839,994 919,997 2,759,992 1,379,996 689,998 344,999 1,034,998 517,499 1,552,498 776,249 2,328,748 1,164,374 582,187 1,746,562 873,281 2,619,844 1,309,922 654,961 1,964,884 982,442 491,221 1,473,664 736,832 368,416 184,208 92,104 46,052 23,026 11,513 34,540 17,270 8,635 25,906 12,953 38,860 19,430 9,715 29,146 14,573 43,720 21,860 10,930 5,465 16,396 8,198 4,099

More profiles

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