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Atlas › Integer Profiles › Node 3,063,968

3,063,968

25 × 232 × 181
Abundant Even Composite

3,063,968 factors as 2^5 × 23^2 × 181. Its 36 positive divisors give a proper-divisor sum of 3,276,730, so this integer is abundant. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2^5 × 23^2 × 181
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 6,340,698
Proper Divisor Sum 3,276,730
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3063967 ← → #3063989

Radix Representation

Decimal 3063968
Binary 1011101100000010100000 (22 bits)
Octal 0o13540240
Hexadecimal 0x2EC0A0

Divisor Catalog (36)

1 2 4 8 16 23 32 46 92 181 184 362 368 529 724 736 1,058 1,448 2,116 2,896 4,163 4,232 5,792 8,326 8,464 16,652 16,928 33,304 66,608 95,749 133,216 191,498 382,996 765,992 1,531,984 3,063,968

Collatz Trajectory (102 steps to reach 1)

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

3,063,968 1,531,984 765,992 382,996 191,498 95,749 287,248 143,624 71,812 35,906 17,953 53,860 26,930 13,465 40,396 20,198 10,099 30,298 15,149 45,448 22,724 11,362 5,681 17,044 8,522 4,261 12,784 6,392 3,196 1,598 799 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542

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