7,642,836

2² × 3⁶ × 2621

7,642,836 is even and not a perfect square. Its factorization is 2^2 × 3^6 × 2621 and its 42 divisors sum to 20,060,922.

Prime Factor Structure

Factorization String 2^2 × 3^6 × 2621

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 42

Divisor Sum (σ) 20,060,922

Proper Divisor Sum 12,418,086

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7642829 ← → #7642837

Radix Representation

Decimal	7642836
Binary	11101001001111011010100 (23 bits)
Octal	0o35117324
Hexadecimal	0x749ED4

Divisor Catalog (42)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1,458 2,621 2,916 5,242 7,863 10,484 15,726 23,589 31,452 47,178 70,767 94,356 141,534 212,301 283,068 424,602 636,903 849,204 1,273,806 1,910,709 2,547,612 3,821,418 7,642,836

Collatz Trajectory (80 steps to reach 1)

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

7,642,836 3,821,418 1,910,709 5,732,128 2,866,064 1,433,032 716,516 358,258 179,129 537,388 268,694 134,347 403,042 201,521 604,564 302,282 151,141 453,424 226,712 113,356 56,678 28,339 85,018 42,509 127,528 63,764 31,882 15,941 47,824 23,912 11,956 5,978 2,989 8,968 4,484 2,242 1,121 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38

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