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Atlas › Integer Profiles › Node 33,334,752

33,334,752

25 × 3 × 11 × 31567
Abundant Even Composite

33,334,752 factors as 2^5 × 3 × 11 × 31567. Its 48 positive divisors give a proper-divisor sum of 62,126,880, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 11 × 31567
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 95,461,632
Proper Divisor Sum 62,126,880
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #33334733 ← → #33334753

Radix Representation

Decimal 33334752
Binary 1111111001010010111100000 (25 bits)
Octal 0o177122740
Hexadecimal 0x1FCA5E0

Divisor Catalog (48)

1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1,056 31,567 63,134 94,701 126,268 189,402 252,536 347,237 378,804 505,072 694,474 757,608 1,010,144 1,041,711 1,388,948 1,515,216 2,083,422 2,777,896 3,030,432 4,166,844 5,555,792 8,333,688 11,111,584 16,667,376 33,334,752

Collatz Trajectory (188 steps to reach 1)

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

33,334,752 16,667,376 8,333,688 4,166,844 2,083,422 1,041,711 3,125,134 1,562,567 4,687,702 2,343,851 7,031,554 3,515,777 10,547,332 5,273,666 2,636,833 7,910,500 3,955,250 1,977,625 5,932,876 2,966,438 1,483,219 4,449,658 2,224,829 6,674,488 3,337,244 1,668,622 834,311 2,502,934 1,251,467 3,754,402 1,877,201 5,631,604 2,815,802 1,407,901 4,223,704 2,111,852 1,055,926 527,963 1,583,890 791,945 2,375,836 1,187,918 593,959 1,781,878 890,939 2,672,818 1,336,409 4,009,228 2,004,614 1,002,307 3,006,922 1,503,461 4,510,384 2,255,192 1,127,596 563,798 281,899 845,698 422,849 1,268,548

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