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Atlas › Integer Profiles › Node 8,465,832

8,465,832

23 × 32 × 307 × 383
Abundant Even Composite

8,465,832 factors as 2^3 × 3^2 × 307 × 383. Its 48 positive divisors give a proper-divisor sum of 14,597,208, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 307 × 383
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,063,040
Proper Divisor Sum 14,597,208
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8465819 ← → #8465833

Radix Representation

Decimal 8465832
Binary 100000010010110110101000 (24 bits)
Octal 0o40226650
Hexadecimal 0x812DA8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 307 383 614 766 921 1,149 1,228 1,532 1,842 2,298 2,456 2,763 3,064 3,447 3,684 4,596 5,526 6,894 7,368 9,192 11,052 13,788 22,104 27,576 117,581 235,162 352,743 470,324 705,486 940,648 1,058,229 1,410,972 2,116,458 2,821,944 4,232,916 8,465,832

Collatz Trajectory (150 steps to reach 1)

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

8,465,832 4,232,916 2,116,458 1,058,229 3,174,688 1,587,344 793,672 396,836 198,418 99,209 297,628 148,814 74,407 223,222 111,611 334,834 167,417 502,252 251,126 125,563 376,690 188,345 565,036 282,518 141,259 423,778 211,889 635,668 317,834 158,917 476,752 238,376 119,188 59,594 29,797 89,392 44,696 22,348 11,174 5,587 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954

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