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Atlas › Integer Profiles › Node 33,308,296

33,308,296

23 × 7 × 79 × 7529
Abundant Even Composite

33,308,296 factors as 2^3 × 7 × 79 × 7529. Its 32 positive divisors give a proper-divisor sum of 38,979,704, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 79 × 7529
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 72,288,000
Proper Divisor Sum 38,979,704
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #33308293 ← → #33308309

Radix Representation

Decimal 33308296
Binary 1111111000011111010001000 (25 bits)
Octal 0o177037210
Hexadecimal 0x1FC3E88

Divisor Catalog (32)

1 2 4 7 8 14 28 56 79 158 316 553 632 1,106 2,212 4,424 7,529 15,058 30,116 52,703 60,232 105,406 210,812 421,624 594,791 1,189,582 2,379,164 4,163,537 4,758,328 8,327,074 16,654,148 33,308,296

Collatz Trajectory (201 steps to reach 1)

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

33,308,296 16,654,148 8,327,074 4,163,537 12,490,612 6,245,306 3,122,653 9,367,960 4,683,980 2,341,990 1,170,995 3,512,986 1,756,493 5,269,480 2,634,740 1,317,370 658,685 1,976,056 988,028 494,014 247,007 741,022 370,511 1,111,534 555,767 1,667,302 833,651 2,500,954 1,250,477 3,751,432 1,875,716 937,858 468,929 1,406,788 703,394 351,697 1,055,092 527,546 263,773 791,320 395,660 197,830 98,915 296,746 148,373 445,120 222,560 111,280 55,640 27,820 13,910 6,955 20,866 10,433 31,300 15,650 7,825 23,476 11,738 5,869

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