32,040,484

2² × 7 × 31 × 36913

32,040,484 factors as 2^2 × 7 × 31 × 36913. Its 24 positive divisors give a proper-divisor sum of 34,109,404, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 31 × 36913

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 66,149,888

Proper Divisor Sum 34,109,404

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #32040467 ← → #32040487

Radix Representation

Decimal	32040484
Binary	1111010001110011000100100 (25 bits)
Octal	0o172163044
Hexadecimal	0x1E8E624

Divisor Catalog (24)

Collatz Trajectory (118 steps to reach 1)

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

32,040,484 16,020,242 8,010,121 24,030,364 12,015,182 6,007,591 18,022,774 9,011,387 27,034,162 13,517,081 40,551,244 20,275,622 10,137,811 30,413,434 15,206,717 45,620,152 22,810,076 11,405,038 5,702,519 17,107,558 8,553,779 25,661,338 12,830,669 38,492,008 19,246,004 9,623,002 4,811,501 14,434,504 7,217,252 3,608,626 1,804,313 5,412,940 2,706,470 1,353,235 4,059,706 2,029,853 6,089,560 3,044,780 1,522,390 761,195 2,283,586 1,141,793 3,425,380 1,712,690 856,345 2,569,036 1,284,518 642,259 1,926,778 963,389 2,890,168 1,445,084 722,542 361,271 1,083,814 541,907 1,625,722 812,861 2,438,584 1,219,292

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