λ
Harmonic Matrix

960,689

61 × 15749
Deficient Odd Composite

960,689 has digital root 2. The neighboring primes are 960677 and 960691; its proper-divisor sum differs from the starting integer by -944,878.

Prime Factor Structure

Factorization String 61 × 15749
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 976,500
Proper Divisor Sum 15,811
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #960677 ← → #960691

Radix Representation

Decimal 960689
Binary 11101010100010110001 (20 bits)
Octal 0o3524261
Hexadecimal 0xEA8B1

Divisor Catalog (4)

1 61 15,749 960,689

Collatz Trajectory (69 steps to reach 1)

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

960,689 2,882,068 1,441,034 720,517 2,161,552 1,080,776 540,388 270,194 135,097 405,292 202,646 101,323 303,970 151,985 455,956 227,978 113,989 341,968 170,984 85,492 42,746 21,373 64,120 32,060 16,030 8,015 24,046 12,023 36,070 18,035 54,106 27,053 81,160 40,580 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113 340 170

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