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3,301,680

24 × 3 × 5 × 13757
Abundant Even Composite

3,301,680 factors as 2^4 × 3 × 5 × 13757. Its 40 positive divisors give a proper-divisor sum of 6,934,272, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 13757
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,235,952
Proper Divisor Sum 6,934,272
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3301663 ← → #3301681

Radix Representation

Decimal 3301680
Binary 1100100110000100110000 (22 bits)
Octal 0o14460460
Hexadecimal 0x326130

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 13,757 27,514 41,271 55,028 68,785 82,542 110,056 137,570 165,084 206,355 220,112 275,140 330,168 412,710 550,280 660,336 825,420 1,100,560 1,650,840 3,301,680

Collatz Trajectory (84 steps to reach 1)

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

3,301,680 1,650,840 825,420 412,710 206,355 619,066 309,533 928,600 464,300 232,150 116,075 348,226 174,113 522,340 261,170 130,585 391,756 195,878 97,939 293,818 146,909 440,728 220,364 110,182 55,091 165,274 82,637 247,912 123,956 61,978 30,989 92,968 46,484 23,242 11,621 34,864 17,432 8,716 4,358 2,179 6,538 3,269 9,808 4,904 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98

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