λ
Prime Ledger

7,639,626

2 × 3 × 353 × 3607
Abundant Even Composite

7,639,626 has the prime decomposition 2 × 3 × 353 × 3607. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 353 × 3607
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,326,784
Proper Divisor Sum 7,687,158
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7639607 ← → #7639633

Radix Representation

Decimal 7639626
Binary 11101001001001001001010 (23 bits)
Octal 0o35111112
Hexadecimal 0x74924A

Divisor Catalog (16)

1 2 3 6 353 706 1,059 2,118 3,607 7,214 10,821 21,642 1,273,271 2,546,542 3,819,813 7,639,626

Collatz Trajectory (129 steps to reach 1)

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

7,639,626 3,819,813 11,459,440 5,729,720 2,864,860 1,432,430 716,215 2,148,646 1,074,323 3,222,970 1,611,485 4,834,456 2,417,228 1,208,614 604,307 1,812,922 906,461 2,719,384 1,359,692 679,846 339,923 1,019,770 509,885 1,529,656 764,828 382,414 191,207 573,622 286,811 860,434 430,217 1,290,652 645,326 322,663 967,990 483,995 1,451,986 725,993 2,177,980 1,088,990 544,495 1,633,486 816,743 2,450,230 1,225,115 3,675,346 1,837,673 5,513,020 2,756,510 1,378,255 4,134,766 2,067,383 6,202,150 3,101,075 9,303,226 4,651,613 13,954,840 6,977,420 3,488,710 1,744,355

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