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Atlas › Integer Profiles › Node 33,708,136

33,708,136

23 × 7 × 11 × 54721
Abundant Even Composite

33,708,136 factors as 2^3 × 7 × 11 × 54721. Its 32 positive divisors give a proper-divisor sum of 45,091,544, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 11 × 54721
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 78,799,680
Proper Divisor Sum 45,091,544
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #33708119 ← → #33708137

Radix Representation

Decimal 33708136
Binary 10000000100101100001101000 (26 bits)
Octal 0o200454150
Hexadecimal 0x2025868

Divisor Catalog (32)

1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 54,721 109,442 218,884 383,047 437,768 601,931 766,094 1,203,862 1,532,188 2,407,724 3,064,376 4,213,517 4,815,448 8,427,034 16,854,068 33,708,136

Collatz Trajectory (157 steps to reach 1)

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

33,708,136 16,854,068 8,427,034 4,213,517 12,640,552 6,320,276 3,160,138 1,580,069 4,740,208 2,370,104 1,185,052 592,526 296,263 888,790 444,395 1,333,186 666,593 1,999,780 999,890 499,945 1,499,836 749,918 374,959 1,124,878 562,439 1,687,318 843,659 2,530,978 1,265,489 3,796,468 1,898,234 949,117 2,847,352 1,423,676 711,838 355,919 1,067,758 533,879 1,601,638 800,819 2,402,458 1,201,229 3,603,688 1,801,844 900,922 450,461 1,351,384 675,692 337,846 168,923 506,770 253,385 760,156 380,078 190,039 570,118 285,059 855,178 427,589 1,282,768

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