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875,340

22 × 33 × 5 × 1621
Abundant Even Composite

875,340 factors as 2^2 × 3^3 × 5 × 1621. Its 48 positive divisors give a proper-divisor sum of 1,849,620, so this integer is abundant. The Collatz stopping time is 250 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 1621
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,724,960
Proper Divisor Sum 1,849,620
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #875339 ← → #875341

Radix Representation

Decimal 875340
Binary 11010101101101001100 (20 bits)
Octal 0o3255514
Hexadecimal 0xD5B4C

Divisor Catalog (48)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1,621 3,242 4,863 6,484 8,105 9,726 14,589 16,210 19,452 24,315 29,178 32,420 43,767 48,630 58,356 72,945 87,534 97,260 145,890 175,068 218,835 291,780 437,670 875,340

Collatz Trajectory (250 steps to reach 1)

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

875,340 437,670 218,835 656,506 328,253 984,760 492,380 246,190 123,095 369,286 184,643 553,930 276,965 830,896 415,448 207,724 103,862 51,931 155,794 77,897 233,692 116,846 58,423 175,270 87,635 262,906 131,453 394,360 197,180 98,590 49,295 147,886 73,943 221,830 110,915 332,746 166,373 499,120 249,560 124,780 62,390 31,195 93,586 46,793 140,380 70,190 35,095 105,286 52,643 157,930 78,965 236,896 118,448 59,224 29,612 14,806 7,403 22,210 11,105 33,316

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