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Atlas › Integer Profiles › Node 32,749,366

32,749,366

2 × 13 × 37 × 59 × 577
Deficient Even Composite

32,749,366 factors as 2 × 13 × 37 × 59 × 577. Its 32 positive divisors give a proper-divisor sum of 22,599,914, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2 × 13 × 37 × 59 × 577
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 55,349,280
Proper Divisor Sum 22,599,914
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #32749337 ← → #32749391

Radix Representation

Decimal 32749366
Binary 1111100111011011100110110 (25 bits)
Octal 0o174733466
Hexadecimal 0x1F3B736

Divisor Catalog (32)

1 2 13 26 37 59 74 118 481 577 767 962 1,154 1,534 2,183 4,366 7,501 15,002 21,349 28,379 34,043 42,698 56,758 68,086 277,537 442,559 555,074 885,118 1,259,591 2,519,182 16,374,683 32,749,366

Collatz Trajectory (113 steps to reach 1)

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

32,749,366 16,374,683 49,124,050 24,562,025 73,686,076 36,843,038 18,421,519 55,264,558 27,632,279 82,896,838 41,448,419 124,345,258 62,172,629 186,517,888 93,258,944 46,629,472 23,314,736 11,657,368 5,828,684 2,914,342 1,457,171 4,371,514 2,185,757 6,557,272 3,278,636 1,639,318 819,659 2,458,978 1,229,489 3,688,468 1,844,234 922,117 2,766,352 1,383,176 691,588 345,794 172,897 518,692 259,346 129,673 389,020 194,510 97,255 291,766 145,883 437,650 218,825 656,476 328,238 164,119 492,358 246,179 738,538 369,269 1,107,808 553,904 276,952 138,476 69,238 34,619

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