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965,004

22 × 3 × 29 × 47 × 59
Abundant Even Composite

965,004 factors as 2^2 × 3 × 29 × 47 × 59. Its 48 positive divisors give a proper-divisor sum of 1,454,196, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 47 × 59
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,419,200
Proper Divisor Sum 1,454,196
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #964981 ← → #965023

Radix Representation

Decimal 965004
Binary 11101011100110001100 (20 bits)
Octal 0o3534614
Hexadecimal 0xEB98C

Divisor Catalog (48)

1 2 3 4 6 12 29 47 58 59 87 94 116 118 141 174 177 188 236 282 348 354 564 708 1,363 1,711 2,726 2,773 3,422 4,089 5,133 5,452 5,546 6,844 8,178 8,319 10,266 11,092 16,356 16,638 20,532 33,276 80,417 160,834 241,251 321,668 482,502 965,004

Collatz Trajectory (121 steps to reach 1)

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

965,004 482,502 241,251 723,754 361,877 1,085,632 542,816 271,408 135,704 67,852 33,926 16,963 50,890 25,445 76,336 38,168 19,084 9,542 4,771 14,314 7,157 21,472 10,736 5,368 2,684 1,342 671 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136

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