33,008,660

2² × 5 × 607 × 2719

33,008,660 factors as 2^2 × 5 × 607 × 2719. Its 24 positive divisors give a proper-divisor sum of 36,449,260, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 607 × 2719

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 69,457,920

Proper Divisor Sum 36,449,260

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #33008639 ← → #33008669

Radix Representation

Decimal	33008660
Binary	1111101111010110000010100 (25 bits)
Octal	0o175726024
Hexadecimal	0x1F7AC14

Divisor Catalog (24)

Collatz Trajectory (95 steps to reach 1)

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

33,008,660 16,504,330 8,252,165 24,756,496 12,378,248 6,189,124 3,094,562 1,547,281 4,641,844 2,320,922 1,160,461 3,481,384 1,740,692 870,346 435,173 1,305,520 652,760 326,380 163,190 81,595 244,786 122,393 367,180 183,590 91,795 275,386 137,693 413,080 206,540 103,270 51,635 154,906 77,453 232,360 116,180 58,090 29,045 87,136 43,568 21,784 10,892 5,446 2,723 8,170 4,085 12,256 6,128 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830

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