32,089,264

2⁴ × 2005579

32,089,264 factors as 2^4 × 2005579. Its 10 positive divisors give a proper-divisor sum of 30,083,716, so this integer is deficient. The Collatz stopping time is 69 steps.

Prime Factor Structure

Factorization String 2^4 × 2005579

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 62,172,980

Proper Divisor Sum 30,083,716

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #32089261 ← → #32089303

Radix Representation

Decimal	32089264
Binary	1111010011010010010110000 (25 bits)
Octal	0o172322260
Hexadecimal	0x1E9A4B0

Divisor Catalog (10)

1 2 4 8 16 2,005,579 4,011,158 8,022,316 16,044,632 32,089,264

Collatz Trajectory (69 steps to reach 1)

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

32,089,264 16,044,632 8,022,316 4,011,158 2,005,579 6,016,738 3,008,369 9,025,108 4,512,554 2,256,277 6,768,832 3,384,416 1,692,208 846,104 423,052 211,526 105,763 317,290 158,645 475,936 237,968 118,984 59,492 29,746 14,873 44,620 22,310 11,155 33,466 16,733 50,200 25,100 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160

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