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Atlas › Integer Profiles › Node 33,335,152

33,335,152

24 × 29 × 71843
Abundant Even Composite

33,335,152 factors as 2^4 × 29 × 71843. Its 20 positive divisors give a proper-divisor sum of 33,479,768, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^4 × 29 × 71843
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 66,814,920
Proper Divisor Sum 33,479,768
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #33335129 ← → #33335161

Radix Representation

Decimal 33335152
Binary 1111111001010011101110000 (25 bits)
Octal 0o177123560
Hexadecimal 0x1FCA770

Divisor Catalog (20)

1 2 4 8 16 29 58 116 232 464 71,843 143,686 287,372 574,744 1,149,488 2,083,447 4,166,894 8,333,788 16,667,576 33,335,152

Collatz Trajectory (170 steps to reach 1)

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

33,335,152 16,667,576 8,333,788 4,166,894 2,083,447 6,250,342 3,125,171 9,375,514 4,687,757 14,063,272 7,031,636 3,515,818 1,757,909 5,273,728 2,636,864 1,318,432 659,216 329,608 164,804 82,402 41,201 123,604 61,802 30,901 92,704 46,352 23,176 11,588 5,794 2,897 8,692 4,346 2,173 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164

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