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Atlas › Integer Profiles › Node 33,575,742

33,575,742

2 × 33 × 61 × 10193
Abundant Even Composite

33,575,742 factors as 2 × 3^3 × 61 × 10193. Its 32 positive divisors give a proper-divisor sum of 42,267,618, so this integer is abundant. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 61 × 10193
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 75,843,360
Proper Divisor Sum 42,267,618
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #33575723 ← → #33575743

Radix Representation

Decimal 33575742
Binary 10000000000101001100111110 (26 bits)
Octal 0o200051476
Hexadecimal 0x200533E

Divisor Catalog (32)

1 2 3 6 9 18 27 54 61 122 183 366 549 1,098 1,647 3,294 10,193 20,386 30,579 61,158 91,737 183,474 275,211 550,422 621,773 1,243,546 1,865,319 3,730,638 5,595,957 11,191,914 16,787,871 33,575,742

Collatz Trajectory (139 steps to reach 1)

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

33,575,742 16,787,871 50,363,614 25,181,807 75,545,422 37,772,711 113,318,134 56,659,067 169,977,202 84,988,601 254,965,804 127,482,902 63,741,451 191,224,354 95,612,177 286,836,532 143,418,266 71,709,133 215,127,400 107,563,700 53,781,850 26,890,925 80,672,776 40,336,388 20,168,194 10,084,097 30,252,292 15,126,146 7,563,073 22,689,220 11,344,610 5,672,305 17,016,916 8,508,458 4,254,229 12,762,688 6,381,344 3,190,672 1,595,336 797,668 398,834 199,417 598,252 299,126 149,563 448,690 224,345 673,036 336,518 168,259 504,778 252,389 757,168 378,584 189,292 94,646 47,323 141,970 70,985 212,956

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