32,937

3 × 10979

32,937 factors as 3 × 10979. Its 4 positive divisors give a proper-divisor sum of 10,983, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 3 × 10979

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 43,920

Proper Divisor Sum 10,983

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #32933 ← → #32939

Radix Representation

Decimal	32937
Binary	1000000010101001 (16 bits)
Octal	0o100251
Hexadecimal	0x80A9

Divisor Catalog (4)

1 3 10,979 32,937

Collatz Trajectory (98 steps to reach 1)

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

32,937 98,812 49,406 24,703 74,110 37,055 111,166 55,583 166,750 83,375 250,126 125,063 375,190 187,595 562,786 281,393 844,180 422,090 211,045 633,136 316,568 158,284 79,142 39,571 118,714 59,357 178,072 89,036 44,518 22,259 66,778 33,389 100,168 50,084 25,042 12,521 37,564 18,782 9,391 28,174 14,087 42,262 21,131 63,394 31,697 95,092 47,546 23,773 71,320 35,660 17,830 8,915 26,746 13,373 40,120 20,060 10,030 5,015 15,046 7,523

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