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Atlas › Integer Profiles › Node 32,320,036

32,320,036

22 × 7 × 29 × 53 × 751
Abundant Even Composite

32,320,036 factors as 2^2 × 7 × 29 × 53 × 751. Its 48 positive divisors give a proper-divisor sum of 35,901,404, so this integer is abundant. The Collatz stopping time is 232 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 29 × 53 × 751
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 68,221,440
Proper Divisor Sum 35,901,404
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #32320031 ← → #32320049

Radix Representation

Decimal 32320036
Binary 1111011010010101000100100 (25 bits)
Octal 0o173225044
Hexadecimal 0x1ED2A24

Divisor Catalog (48)

1 2 4 7 14 28 29 53 58 106 116 203 212 371 406 742 751 812 1,484 1,502 1,537 3,004 3,074 5,257 6,148 10,514 10,759 21,028 21,518 21,779 39,803 43,036 43,558 79,606 87,116 152,453 159,212 278,621 304,906 557,242 609,812 1,114,484 1,154,287 2,308,574 4,617,148 8,080,009 16,160,018 32,320,036

Collatz Trajectory (232 steps to reach 1)

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

32,320,036 16,160,018 8,080,009 24,240,028 12,120,014 6,060,007 18,180,022 9,090,011 27,270,034 13,635,017 40,905,052 20,452,526 10,226,263 30,678,790 15,339,395 46,018,186 23,009,093 69,027,280 34,513,640 17,256,820 8,628,410 4,314,205 12,942,616 6,471,308 3,235,654 1,617,827 4,853,482 2,426,741 7,280,224 3,640,112 1,820,056 910,028 455,014 227,507 682,522 341,261 1,023,784 511,892 255,946 127,973 383,920 191,960 95,980 47,990 23,995 71,986 35,993 107,980 53,990 26,995 80,986 40,493 121,480 60,740 30,370 15,185 45,556 22,778 11,389 34,168

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