λ
Prime Ledger

7,642,566

2 × 33 × 141529
Abundant Even Composite

7,642,566 has the prime decomposition 2 × 3^3 × 141529. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 141529
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,983,600
Proper Divisor Sum 9,341,034
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7642561 ← → #7642567

Radix Representation

Decimal 7642566
Binary 11101001001110111000110 (23 bits)
Octal 0o35116706
Hexadecimal 0x749DC6

Divisor Catalog (16)

1 2 3 6 9 18 27 54 141,529 283,058 424,587 849,174 1,273,761 2,547,522 3,821,283 7,642,566

Collatz Trajectory (80 steps to reach 1)

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

7,642,566 3,821,283 11,463,850 5,731,925 17,195,776 8,597,888 4,298,944 2,149,472 1,074,736 537,368 268,684 134,342 67,171 201,514 100,757 302,272 151,136 75,568 37,784 18,892 9,446 4,723 14,170 7,085 21,256 10,628 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 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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