λ
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Atlas › Integer Profiles › Node 3,856,902

3,856,902

2 × 3 × 7 × 131 × 701
Abundant Even Composite

3,856,902 factors as 2 × 3 × 7 × 131 × 701. Its 32 positive divisors give a proper-divisor sum of 5,038,842, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 131 × 701
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,895,744
Proper Divisor Sum 5,038,842
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3856891 ← → #3856903

Radix Representation

Decimal 3856902
Binary 1110101101101000000110 (22 bits)
Octal 0o16555006
Hexadecimal 0x3ADA06

Divisor Catalog (32)

1 2 3 6 7 14 21 42 131 262 393 701 786 917 1,402 1,834 2,103 2,751 4,206 4,907 5,502 9,814 14,721 29,442 91,831 183,662 275,493 550,986 642,817 1,285,634 1,928,451 3,856,902

Collatz Trajectory (123 steps to reach 1)

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

3,856,902 1,928,451 5,785,354 2,892,677 8,678,032 4,339,016 2,169,508 1,084,754 542,377 1,627,132 813,566 406,783 1,220,350 610,175 1,830,526 915,263 2,745,790 1,372,895 4,118,686 2,059,343 6,178,030 3,089,015 9,267,046 4,633,523 13,900,570 6,950,285 20,850,856 10,425,428 5,212,714 2,606,357 7,819,072 3,909,536 1,954,768 977,384 488,692 244,346 122,173 366,520 183,260 91,630 45,815 137,446 68,723 206,170 103,085 309,256 154,628 77,314 38,657 115,972 57,986 28,993 86,980 43,490 21,745 65,236 32,618 16,309 48,928 24,464

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