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760,980

22 × 3 × 5 × 11 × 1153
Abundant Even Composite

760,980 factors as 2^2 × 3 × 5 × 11 × 1153. Its 48 positive divisors give a proper-divisor sum of 1,565,484, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 11 × 1153
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,326,464
Proper Divisor Sum 1,565,484
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #760961 ← → #760993

Radix Representation

Decimal 760980
Binary 10111001110010010100 (20 bits)
Octal 0o2716224
Hexadecimal 0xB9C94

Divisor Catalog (48)

1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1,153 2,306 3,459 4,612 5,765 6,918 11,530 12,683 13,836 17,295 23,060 25,366 34,590 38,049 50,732 63,415 69,180 76,098 126,830 152,196 190,245 253,660 380,490 760,980

Collatz Trajectory (105 steps to reach 1)

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

760,980 380,490 190,245 570,736 285,368 142,684 71,342 35,671 107,014 53,507 160,522 80,261 240,784 120,392 60,196 30,098 15,049 45,148 22,574 11,287 33,862 16,931 50,794 25,397 76,192 38,096 19,048 9,524 4,762 2,381 7,144 3,572 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858

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