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Atlas › Integer Profiles › Node 11,562,376

11,562,376

23 × 7 × 23 × 47 × 191
Abundant Even Composite

11,562,376 factors as 2^3 × 7 × 23 × 47 × 191. Its 64 positive divisors give a proper-divisor sum of 14,979,704, so this integer is abundant. The Collatz stopping time is 52 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 23 × 47 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 26,542,080
Proper Divisor Sum 14,979,704
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #11562373 ← → #11562377

Radix Representation

Decimal 11562376
Binary 101100000110110110001000 (24 bits)
Octal 0o54066610
Hexadecimal 0xB06D88

Divisor Catalog (60 of 64)

1 2 4 7 8 14 23 28 46 47 56 92 94 161 184 188 191 322 329 376 382 644 658 764 1,081 1,288 1,316 1,337 1,528 2,162 2,632 2,674 4,324 4,393 5,348 7,567 8,648 8,786 8,977 10,696 15,134 17,572 17,954 30,268 30,751 35,144 35,908 60,536 61,502 62,839 71,816 123,004 125,678 206,471 246,008 251,356 412,942 502,712 825,884 1,445,297

Collatz Trajectory (52 steps to reach 1)

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

11,562,376 5,781,188 2,890,594 1,445,297 4,335,892 2,167,946 1,083,973 3,251,920 1,625,960 812,980 406,490 203,245 609,736 304,868 152,434 76,217 228,652 114,326 57,163 171,490 85,745 257,236 128,618 64,309 192,928 96,464 48,232 24,116 12,058 6,029 18,088 9,044 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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