32,004,306

2 × 3² × 149 × 11933

32,004,306 factors as 2 × 3^2 × 149 × 11933. Its 24 positive divisors give a proper-divisor sum of 37,809,594, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 149 × 11933

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 69,813,900

Proper Divisor Sum 37,809,594

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #32004289 ← → #32004337

Radix Representation

Decimal	32004306
Binary	1111010000101100011010010 (25 bits)
Octal	0o172054322
Hexadecimal	0x1E858D2

Divisor Catalog (24)

Collatz Trajectory (201 steps to reach 1)

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

32,004,306 16,002,153 48,006,460 24,003,230 12,001,615 36,004,846 18,002,423 54,007,270 27,003,635 81,010,906 40,505,453 121,516,360 60,758,180 30,379,090 15,189,545 45,568,636 22,784,318 11,392,159 34,176,478 17,088,239 51,264,718 25,632,359 76,897,078 38,448,539 115,345,618 57,672,809 173,018,428 86,509,214 43,254,607 129,763,822 64,881,911 194,645,734 97,322,867 291,968,602 145,984,301 437,952,904 218,976,452 109,488,226 54,744,113 164,232,340 82,116,170 41,058,085 123,174,256 61,587,128 30,793,564 15,396,782 7,698,391 23,095,174 11,547,587 34,642,762 17,321,381 51,964,144 25,982,072 12,991,036 6,495,518 3,247,759 9,743,278 4,871,639 14,614,918 7,307,459

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