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Atlas › Integer Profiles › Node 33,224,752

33,224,752

24 × 11 × 311 × 607
Abundant Even Composite

33,224,752 factors as 2^4 × 11 × 311 × 607. Its 40 positive divisors give a proper-divisor sum of 37,342,160, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 311 × 607
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 70,566,912
Proper Divisor Sum 37,342,160
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #33224747 ← → #33224759

Radix Representation

Decimal 33224752
Binary 1111110101111100000110000 (25 bits)
Octal 0o176574060
Hexadecimal 0x1FAF830

Divisor Catalog (40)

1 2 4 8 11 16 22 44 88 176 311 607 622 1,214 1,244 2,428 2,488 3,421 4,856 4,976 6,677 6,842 9,712 13,354 13,684 26,708 27,368 53,416 54,736 106,832 188,777 377,554 755,108 1,510,216 2,076,547 3,020,432 4,153,094 8,306,188 16,612,376 33,224,752

Collatz Trajectory (170 steps to reach 1)

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

33,224,752 16,612,376 8,306,188 4,153,094 2,076,547 6,229,642 3,114,821 9,344,464 4,672,232 2,336,116 1,168,058 584,029 1,752,088 876,044 438,022 219,011 657,034 328,517 985,552 492,776 246,388 123,194 61,597 184,792 92,396 46,198 23,099 69,298 34,649 103,948 51,974 25,987 77,962 38,981 116,944 58,472 29,236 14,618 7,309 21,928 10,964 5,482 2,741 8,224 4,112 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164

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