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Atlas › Integer Profiles › Node 11,623,836

11,623,836

22 × 3 × 7 × 71 × 1949
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 71 × 1949
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 31,449,600
Proper Divisor Sum 19,825,764
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #11623819 ← → #11623837

Radix Representation

Decimal 11623836
Binary 101100010101110110011100 (24 bits)
Octal 0o54256634
Hexadecimal 0xB15D9C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 852 994 1,491 1,949 1,988 2,982 3,898 5,847 5,964 7,796 11,694 13,643 23,388 27,286 40,929 54,572 81,858 138,379 163,716 276,758 415,137 553,516 830,274 968,653 1,660,548 1,937,306 2,905,959 3,874,612 5,811,918 11,623,836

Collatz Trajectory (215 steps to reach 1)

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

11,623,836 5,811,918 2,905,959 8,717,878 4,358,939 13,076,818 6,538,409 19,615,228 9,807,614 4,903,807 14,711,422 7,355,711 22,067,134 11,033,567 33,100,702 16,550,351 49,651,054 24,825,527 74,476,582 37,238,291 111,714,874 55,857,437 167,572,312 83,786,156 41,893,078 20,946,539 62,839,618 31,419,809 94,259,428 47,129,714 23,564,857 70,694,572 35,347,286 17,673,643 53,020,930 26,510,465 79,531,396 39,765,698 19,882,849 59,648,548 29,824,274 14,912,137 44,736,412 22,368,206 11,184,103 33,552,310 16,776,155 50,328,466 25,164,233 75,492,700 37,746,350 18,873,175 56,619,526 28,309,763 84,929,290 42,464,645 127,393,936 63,696,968 31,848,484 15,924,242

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