3,132,864

2⁶ × 3³ × 7² × 37

3,132,864 factors as 2^6 × 3^3 × 7^2 × 37. Its 168 positive divisors give a proper-divisor sum of 7,870,416, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^6 × 3^3 × 7^2 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 168

Divisor Sum (σ) 11,003,280

Proper Divisor Sum 7,870,416

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3132859 ← → #3132881

Radix Representation

Decimal	3132864
Binary	1011111100110111000000 (22 bits)
Octal	0o13746700
Hexadecimal	0x2FCDC0

Divisor Catalog (60 of 168)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 37 42 48 49 54 56 63 64 72 74 84 96 98 108 111 112 126 144 147 148 168 189 192 196 216 222 224 252 259 288 294 296 333 336 378 392 432 441 444 448 504 518

Collatz Trajectory (164 steps to reach 1)

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

3,132,864 1,566,432 783,216 391,608 195,804 97,902 48,951 146,854 73,427 220,282 110,141 330,424 165,212 82,606 41,303 123,910 61,955 185,866 92,933 278,800 139,400 69,700 34,850 17,425 52,276 26,138 13,069 39,208 19,604 9,802 4,901 14,704 7,352 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94

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