32,087,728

2⁴ × 31 × 64693

32,087,728 factors as 2^4 × 31 × 64693. Its 20 positive divisors give a proper-divisor sum of 32,088,720, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^4 × 31 × 64693

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 64,176,448

Proper Divisor Sum 32,088,720

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #32087723 ← → #32087749

Radix Representation

Decimal	32087728
Binary	1111010011001111010110000 (25 bits)
Octal	0o172317260
Hexadecimal	0x1E99EB0

Divisor Catalog (20)

Collatz Trajectory (144 steps to reach 1)

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

32,087,728 16,043,864 8,021,932 4,010,966 2,005,483 6,016,450 3,008,225 9,024,676 4,512,338 2,256,169 6,768,508 3,384,254 1,692,127 5,076,382 2,538,191 7,614,574 3,807,287 11,421,862 5,710,931 17,132,794 8,566,397 25,699,192 12,849,596 6,424,798 3,212,399 9,637,198 4,818,599 14,455,798 7,227,899 21,683,698 10,841,849 32,525,548 16,262,774 8,131,387 24,394,162 12,197,081 36,591,244 18,295,622 9,147,811 27,443,434 13,721,717 41,165,152 20,582,576 10,291,288 5,145,644 2,572,822 1,286,411 3,859,234 1,929,617 5,788,852 2,894,426 1,447,213 4,341,640 2,170,820 1,085,410 542,705 1,628,116 814,058 407,029 1,221,088

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