λ
Prime Ledger

960,705

32 × 5 × 37 × 577
Deficient Odd Composite

960,705 has the prime decomposition 3^2 × 5 × 37 × 577. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 37 × 577
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,713,192
Proper Divisor Sum 752,487
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #960703 ← → #960709

Radix Representation

Decimal 960705
Binary 11101010100011000001 (20 bits)
Octal 0o3524301
Hexadecimal 0xEA8C1

Divisor Catalog (24)

1 3 5 9 15 37 45 111 185 333 555 577 1,665 1,731 2,885 5,193 8,655 21,349 25,965 64,047 106,745 192,141 320,235 960,705

Collatz Trajectory (69 steps to reach 1)

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

960,705 2,882,116 1,441,058 720,529 2,161,588 1,080,794 540,397 1,621,192 810,596 405,298 202,649 607,948 303,974 151,987 455,962 227,981 683,944 341,972 170,986 85,493 256,480 128,240 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

More profiles

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