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Atlas › Integer Profiles › Node 3,930,876

3,930,876

22 × 33 × 17 × 2141
Abundant Even Composite

3,930,876 factors as 2^2 × 3^3 × 17 × 2141. Its 48 positive divisors give a proper-divisor sum of 6,864,804, so this integer is abundant. The Collatz stopping time is 322 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 17 × 2141
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,795,680
Proper Divisor Sum 6,864,804
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3930869 ← → #3930887

Radix Representation

Decimal 3930876
Binary 1110111111101011111100 (22 bits)
Octal 0o16775374
Hexadecimal 0x3BFAFC

Divisor Catalog (48)

1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1,836 2,141 4,282 6,423 8,564 12,846 19,269 25,692 36,397 38,538 57,807 72,794 77,076 109,191 115,614 145,588 218,382 231,228 327,573 436,764 655,146 982,719 1,310,292 1,965,438 3,930,876

Collatz Trajectory (322 steps to reach 1)

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

3,930,876 1,965,438 982,719 2,948,158 1,474,079 4,422,238 2,211,119 6,633,358 3,316,679 9,950,038 4,975,019 14,925,058 7,462,529 22,387,588 11,193,794 5,596,897 16,790,692 8,395,346 4,197,673 12,593,020 6,296,510 3,148,255 9,444,766 4,722,383 14,167,150 7,083,575 21,250,726 10,625,363 31,876,090 15,938,045 47,814,136 23,907,068 11,953,534 5,976,767 17,930,302 8,965,151 26,895,454 13,447,727 40,343,182 20,171,591 60,514,774 30,257,387 90,772,162 45,386,081 136,158,244 68,079,122 34,039,561 102,118,684 51,059,342 25,529,671 76,589,014 38,294,507 114,883,522 57,441,761 172,325,284 86,162,642 43,081,321 129,243,964 64,621,982 32,310,991

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