32,976,088

2³ × 421 × 9791

32,976,088 factors as 2^3 × 421 × 9791. Its 16 positive divisors give a proper-divisor sum of 29,007,272, so this integer is deficient. The Collatz stopping time is 245 steps.

Prime Factor Structure

Factorization String 2^3 × 421 × 9791

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 61,983,360

Proper Divisor Sum 29,007,272

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #32976079 ← → #32976109

Radix Representation

Decimal	32976088
Binary	1111101110010110011011000 (25 bits)
Octal	0o175626330
Hexadecimal	0x1F72CD8

Divisor Catalog (16)

1 2 4 8 421 842 1,684 3,368 9,791 19,582 39,164 78,328 4,122,011 8,244,022 16,488,044 32,976,088

Collatz Trajectory (245 steps to reach 1)

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

32,976,088 16,488,044 8,244,022 4,122,011 12,366,034 6,183,017 18,549,052 9,274,526 4,637,263 13,911,790 6,955,895 20,867,686 10,433,843 31,301,530 15,650,765 46,952,296 23,476,148 11,738,074 5,869,037 17,607,112 8,803,556 4,401,778 2,200,889 6,602,668 3,301,334 1,650,667 4,952,002 2,476,001 7,428,004 3,714,002 1,857,001 5,571,004 2,785,502 1,392,751 4,178,254 2,089,127 6,267,382 3,133,691 9,401,074 4,700,537 14,101,612 7,050,806 3,525,403 10,576,210 5,288,105 15,864,316 7,932,158 3,966,079 11,898,238 5,949,119 17,847,358 8,923,679 26,771,038 13,385,519 40,156,558 20,078,279 60,234,838 30,117,419 90,352,258 45,176,129

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