λ
Harmonic Matrix

60,965

5 × 89 × 137
Deficient Odd Composite

60,965 has digital root 8. The neighboring primes are 60961 and 61001; its proper-divisor sum differs from the starting integer by -47,410.

Prime Factor Structure

Factorization String 5 × 89 × 137
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 74,520
Proper Divisor Sum 13,555
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #60961 ← → #61001

Radix Representation

Decimal 60965
Binary 1110111000100101 (16 bits)
Octal 0o167045
Hexadecimal 0xEE25

Divisor Catalog (8)

1 5 89 137 445 685 12,193 60,965

Collatz Trajectory (179 steps to reach 1)

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

60,965 182,896 91,448 45,724 22,862 11,431 34,294 17,147 51,442 25,721 77,164 38,582 19,291 57,874 28,937 86,812 43,406 21,703 65,110 32,555 97,666 48,833 146,500 73,250 36,625 109,876 54,938 27,469 82,408 41,204 20,602 10,301 30,904 15,452 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324

More profiles

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