3,207,632

2⁴ × 29 × 31 × 223

3,207,632 factors as 2^4 × 29 × 31 × 223. Its 40 positive divisors give a proper-divisor sum of 3,458,608, so this integer is abundant. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 2^4 × 29 × 31 × 223

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 6,666,240

Proper Divisor Sum 3,458,608

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3207629 ← → #3207643

Radix Representation

Decimal	3207632
Binary	1100001111000111010000 (22 bits)
Octal	0o14170720
Hexadecimal	0x30F1D0

Divisor Catalog (40)

Collatz Trajectory (76 steps to reach 1)

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

3,207,632 1,603,816 801,908 400,954 200,477 601,432 300,716 150,358 75,179 225,538 112,769 338,308 169,154 84,577 253,732 126,866 63,433 190,300 95,150 47,575 142,726 71,363 214,090 107,045 321,136 160,568 80,284 40,142 20,071 60,214 30,107 90,322 45,161 135,484 67,742 33,871 101,614 50,807 152,422 76,211 228,634 114,317 342,952 171,476 85,738 42,869 128,608 64,304 32,152 16,076 8,038 4,019 12,058 6,029 18,088 9,044 4,522 2,261 6,784 3,392

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