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Math Directory

9,721,127

13 × 17 × 43987
Deficient Odd Composite

9,721,127 factors as 13 × 17 × 43987. Its 8 positive divisors give a proper-divisor sum of 1,363,849, so this integer is deficient. The Collatz stopping time is 62 steps.

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Prime Factor Structure

Factorization String 13 × 17 × 43987
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,084,976
Proper Divisor Sum 1,363,849
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9721123 ← → #9721133

Radix Representation

Decimal 9721127
Binary 100101000101010100100111 (24 bits)
Octal 0o45052447
Hexadecimal 0x945527

Divisor Catalog (5 of 8)

1 13 17 221 43,987

Collatz Trajectory (62 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.

9,721,127 29,163,382 14,581,691 43,745,074 21,872,537

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