960,417

3⁴ × 71 × 167

960,417 factors as 3^4 × 71 × 167. Its 20 positive divisors give a proper-divisor sum of 503,199, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 3^4 × 71 × 167

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,463,616

Proper Divisor Sum 503,199

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #960389 ← → #960419

Radix Representation

Decimal	960417
Binary	11101010011110100001 (20 bits)
Octal	0o3523641
Hexadecimal	0xEA7A1

Divisor Catalog (20)

1 3 9 27 71 81 167 213 501 639 1,503 1,917 4,509 5,751 11,857 13,527 35,571 106,713 320,139 960,417

Collatz Trajectory (121 steps to reach 1)

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

960,417 2,881,252 1,440,626 720,313 2,160,940 1,080,470 540,235 1,620,706 810,353 2,431,060 1,215,530 607,765 1,823,296 911,648 455,824 227,912 113,956 56,978 28,489 85,468 42,734 21,367 64,102 32,051 96,154 48,077 144,232 72,116 36,058 18,029 54,088 27,044 13,522 6,761 20,284 10,142 5,071 15,214 7,607 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095

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