λ
Integer Codex

8,743,064

23 × 11 × 73 × 1361
Abundant Even Composite

For 8,743,064, the 32 positive divisors have a total of 18,141,840. Removing 8,743,064 leaves 9,398,776, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 11 × 73 × 1361
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,141,840
Proper Divisor Sum 9,398,776
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8743043 ← → #8743067

Radix Representation

Decimal 8743064
Binary 100001010110100010011000 (24 bits)
Octal 0o41264230
Hexadecimal 0x856898

Divisor Catalog (32)

1 2 4 8 11 22 44 73 88 146 292 584 803 1,361 1,606 2,722 3,212 5,444 6,424 10,888 14,971 29,942 59,884 99,353 119,768 198,706 397,412 794,824 1,092,883 2,185,766 4,371,532 8,743,064

Collatz Trajectory (88 steps to reach 1)

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

8,743,064 4,371,532 2,185,766 1,092,883 3,278,650 1,639,325 4,917,976 2,458,988 1,229,494 614,747 1,844,242 922,121 2,766,364 1,383,182 691,591 2,074,774 1,037,387 3,112,162 1,556,081 4,668,244 2,334,122 1,167,061 3,501,184 1,750,592 875,296 437,648 218,824 109,412 54,706 27,353 82,060 41,030 20,515 61,546 30,773 92,320 46,160 23,080 11,540 5,770 2,885 8,656 4,328 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43

More profiles

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