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Atlas › Integer Profiles › Node 2,033,360

2,033,360

24 × 5 × 7 × 3631
Abundant Even Composite

2,033,360 factors as 2^4 × 5 × 7 × 3631. Its 40 positive divisors give a proper-divisor sum of 3,371,056, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 3631
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 5,404,416
Proper Divisor Sum 3,371,056
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2033359 ← → #2033363

Radix Representation

Decimal 2033360
Binary 111110000011011010000 (21 bits)
Octal 0o7603320
Hexadecimal 0x1F06D0

Divisor Catalog (40)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 3,631 7,262 14,524 18,155 25,417 29,048 36,310 50,834 58,096 72,620 101,668 127,085 145,240 203,336 254,170 290,480 406,672 508,340 1,016,680 2,033,360

Collatz Trajectory (135 steps to reach 1)

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

2,033,360 1,016,680 508,340 254,170 127,085 381,256 190,628 95,314 47,657 142,972 71,486 35,743 107,230 53,615 160,846 80,423 241,270 120,635 361,906 180,953 542,860 271,430 135,715 407,146 203,573 610,720 305,360 152,680 76,340 38,170 19,085 57,256 28,628 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

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