33,552,580

2² × 5 × 223 × 7523

33,552,580 factors as 2^2 × 5 × 223 × 7523. Its 24 positive divisors give a proper-divisor sum of 37,233,212, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 223 × 7523

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 70,785,792

Proper Divisor Sum 37,233,212

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #33552529 ← → #33552583

Radix Representation

Decimal	33552580
Binary	1111111111111100011000100 (25 bits)
Octal	0o177774304
Hexadecimal	0x1FFF8C4

Divisor Catalog (24)

Collatz Trajectory (170 steps to reach 1)

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

33,552,580 16,776,290 8,388,145 25,164,436 12,582,218 6,291,109 18,873,328 9,436,664 4,718,332 2,359,166 1,179,583 3,538,750 1,769,375 5,308,126 2,654,063 7,962,190 3,981,095 11,943,286 5,971,643 17,914,930 8,957,465 26,872,396 13,436,198 6,718,099 20,154,298 10,077,149 30,231,448 15,115,724 7,557,862 3,778,931 11,336,794 5,668,397 17,005,192 8,502,596 4,251,298 2,125,649 6,376,948 3,188,474 1,594,237 4,782,712 2,391,356 1,195,678 597,839 1,793,518 896,759 2,690,278 1,345,139 4,035,418 2,017,709 6,053,128 3,026,564 1,513,282 756,641 2,269,924 1,134,962 567,481 1,702,444 851,222 425,611 1,276,834

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