3,215,940

2² × 3 × 5 × 7 × 13 × 19 × 31

3,215,940 factors as 2^2 × 3 × 5 × 7 × 13 × 19 × 31. Its 192 positive divisors give a proper-divisor sum of 8,826,300, so this integer is abundant. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 13 × 19 × 31

Distinct Prime Factors 7

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 12,042,240

Proper Divisor Sum 8,826,300

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3215939 ← → #3215963

Radix Representation

Decimal	3215940
Binary	1100010001001001000100 (22 bits)
Octal	0o14211104
Hexadecimal	0x311244

Divisor Catalog (60 of 192)

1 2 3 4 5 6 7 10 12 13 14 15 19 20 21 26 28 30 31 35 38 39 42 52 57 60 62 65 70 76 78 84 91 93 95 105 114 124 130 133 140 155 156 182 186 190 195 210 217 228 247 260 266 273 285 310 364 372 380 390

Collatz Trajectory (177 steps to reach 1)

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

3,215,940 1,607,970 803,985 2,411,956 1,205,978 602,989 1,808,968 904,484 452,242 226,121 678,364 339,182 169,591 508,774 254,387 763,162 381,581 1,144,744 572,372 286,186 143,093 429,280 214,640 107,320 53,660 26,830 13,415 40,246 20,123 60,370 30,185 90,556 45,278 22,639 67,918 33,959 101,878 50,939 152,818 76,409 229,228 114,614 57,307 171,922 85,961 257,884 128,942 64,471 193,414 96,707 290,122 145,061 435,184 217,592 108,796 54,398 27,199 81,598 40,799 122,398

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