λ
Match Zalai

103,137

3 × 31 × 1109
Deficient Odd Composite

103,137 factors as 3 × 31 × 1109. Its 8 positive divisors give a proper-divisor sum of 38,943, so this integer is deficient. The Collatz stopping time is 141 steps.

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Prime Factor Structure

Factorization String 3 × 31 × 1109
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 142,080
Proper Divisor Sum 38,943
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #103123 ← → #103141

Radix Representation

Decimal 103137
Binary 11001001011100001 (17 bits)
Octal 0o311341
Hexadecimal 0x192E1

Divisor Catalog (5 of 8)

1 3 31 93 1,109

Collatz Trajectory (141 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

103,137 309,412 154,706 77,353 232,060

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