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Atlas › Integer Profiles › Node 3,117,366

3,117,366

2 × 34 × 7 × 2749
Abundant Even Composite

3,117,366 factors as 2 × 3^4 × 7 × 2749. Its 40 positive divisors give a proper-divisor sum of 4,868,634, so this integer is abundant. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 7 × 2749
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,986,000
Proper Divisor Sum 4,868,634
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3117299 ← → #3117421

Radix Representation

Decimal 3117366
Binary 1011111001000100110110 (22 bits)
Octal 0o13710466
Hexadecimal 0x2F9136

Divisor Catalog (40)

1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1,134 2,749 5,498 8,247 16,494 19,243 24,741 38,486 49,482 57,729 74,223 115,458 148,446 173,187 222,669 346,374 445,338 519,561 1,039,122 1,558,683 3,117,366

Collatz Trajectory (156 steps to reach 1)

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

3,117,366 1,558,683 4,676,050 2,338,025 7,014,076 3,507,038 1,753,519 5,260,558 2,630,279 7,890,838 3,945,419 11,836,258 5,918,129 17,754,388 8,877,194 4,438,597 13,315,792 6,657,896 3,328,948 1,664,474 832,237 2,496,712 1,248,356 624,178 312,089 936,268 468,134 234,067 702,202 351,101 1,053,304 526,652 263,326 131,663 394,990 197,495 592,486 296,243 888,730 444,365 1,333,096 666,548 333,274 166,637 499,912 249,956 124,978 62,489 187,468 93,734 46,867 140,602 70,301 210,904 105,452 52,726 26,363 79,090 39,545 118,636

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