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Atlas › Integer Profiles › Node 3,951,276

3,951,276

22 × 3 × 7 × 17 × 2767
Abundant Even Composite

3,951,276 factors as 2^2 × 3 × 7 × 17 × 2767. Its 48 positive divisors give a proper-divisor sum of 7,209,300, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 17 × 2767
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,160,576
Proper Divisor Sum 7,209,300
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3951263 ← → #3951281

Radix Representation

Decimal 3951276
Binary 1111000100101010101100 (22 bits)
Octal 0o17045254
Hexadecimal 0x3C4AAC

Divisor Catalog (48)

1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1,428 2,767 5,534 8,301 11,068 16,602 19,369 33,204 38,738 47,039 58,107 77,476 94,078 116,214 141,117 188,156 232,428 282,234 329,273 564,468 658,546 987,819 1,317,092 1,975,638 3,951,276

Collatz Trajectory (123 steps to reach 1)

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

3,951,276 1,975,638 987,819 2,963,458 1,481,729 4,445,188 2,222,594 1,111,297 3,333,892 1,666,946 833,473 2,500,420 1,250,210 625,105 1,875,316 937,658 468,829 1,406,488 703,244 351,622 175,811 527,434 263,717 791,152 395,576 197,788 98,894 49,447 148,342 74,171 222,514 111,257 333,772 166,886 83,443 250,330 125,165 375,496 187,748 93,874 46,937 140,812 70,406 35,203 105,610 52,805 158,416 79,208 39,604 19,802 9,901 29,704 14,852 7,426 3,713 11,140 5,570 2,785 8,356 4,178

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