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Atlas › Integer Profiles › Node 8,162,016

8,162,016

25 × 3 × 85021
Abundant Even Composite

8,162,016 factors as 2^5 × 3 × 85021. Its 24 positive divisors give a proper-divisor sum of 13,263,528, so this integer is abundant. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 85021
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,425,544
Proper Divisor Sum 13,263,528
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8162009 ← → #8162017

Radix Representation

Decimal 8162016
Binary 11111001000101011100000 (23 bits)
Octal 0o37105340
Hexadecimal 0x7C8AE0

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 85,021 170,042 255,063 340,084 510,126 680,168 1,020,252 1,360,336 2,040,504 2,720,672 4,081,008 8,162,016

Collatz Trajectory (62 steps to reach 1)

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

8,162,016 4,081,008 2,040,504 1,020,252 510,126 255,063 765,190 382,595 1,147,786 573,893 1,721,680 860,840 430,420 215,210 107,605 322,816 161,408 80,704 40,352 20,176 10,088 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

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