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Atlas › Integer Profiles › Node 33,859,053

33,859,053

34 × 17 × 67 × 367
Deficient Odd Composite

33,859,053 factors as 3^4 × 17 × 67 × 367. Its 40 positive divisors give a proper-divisor sum of 20,643,219, so this integer is deficient. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 3^4 × 17 × 67 × 367
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 54,502,272
Proper Divisor Sum 20,643,219
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #33859051 ← → #33859061

Radix Representation

Decimal 33859053
Binary 10000001001010010111101101 (26 bits)
Octal 0o201122755
Hexadecimal 0x204A5ED

Divisor Catalog (40)

1 3 9 17 27 51 67 81 153 201 367 459 603 1,101 1,139 1,377 1,809 3,303 3,417 5,427 6,239 9,909 10,251 18,717 24,589 29,727 30,753 56,151 73,767 92,259 168,453 221,301 418,013 505,359 663,903 1,254,039 1,991,709 3,762,117 11,286,351 33,859,053

Collatz Trajectory (201 steps to reach 1)

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

33,859,053 101,577,160 50,788,580 25,394,290 12,697,145 38,091,436 19,045,718 9,522,859 28,568,578 14,284,289 42,852,868 21,426,434 10,713,217 32,139,652 16,069,826 8,034,913 24,104,740 12,052,370 6,026,185 18,078,556 9,039,278 4,519,639 13,558,918 6,779,459 20,338,378 10,169,189 30,507,568 15,253,784 7,626,892 3,813,446 1,906,723 5,720,170 2,860,085 8,580,256 4,290,128 2,145,064 1,072,532 536,266 268,133 804,400 402,200 201,100 100,550 50,275 150,826 75,413 226,240 113,120 56,560 28,280 14,140 7,070 3,535 10,606 5,303 15,910 7,955 23,866 11,933 35,800

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