λ
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3,907,212

22 × 3 × 17 × 107 × 179
Abundant Even Composite

3,907,212 factors as 2^2 × 3 × 17 × 107 × 179. Its 48 positive divisors give a proper-divisor sum of 5,890,548, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 107 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,797,760
Proper Divisor Sum 5,890,548
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3907207 ← → #3907219

Radix Representation

Decimal 3907212
Binary 1110111001111010001100 (22 bits)
Octal 0o16717214
Hexadecimal 0x3B9E8C

Divisor Catalog (48)

1 2 3 4 6 12 17 34 51 68 102 107 179 204 214 321 358 428 537 642 716 1,074 1,284 1,819 2,148 3,043 3,638 5,457 6,086 7,276 9,129 10,914 12,172 18,258 19,153 21,828 36,516 38,306 57,459 76,612 114,918 229,836 325,601 651,202 976,803 1,302,404 1,953,606 3,907,212

Collatz Trajectory (128 steps to reach 1)

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

3,907,212 1,953,606 976,803 2,930,410 1,465,205 4,395,616 2,197,808 1,098,904 549,452 274,726 137,363 412,090 206,045 618,136 309,068 154,534 77,267 231,802 115,901 347,704 173,852 86,926 43,463 130,390 65,195 195,586 97,793 293,380 146,690 73,345 220,036 110,018 55,009 165,028 82,514 41,257 123,772 61,886 30,943 92,830 46,415 139,246 69,623 208,870 104,435 313,306 156,653 469,960 234,980 117,490 58,745 176,236 88,118 44,059 132,178 66,089 198,268 99,134 49,567 148,702

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