λ
Prime Ledger

7,424,626

2 × 11 × 349 × 967
Deficient Even Composite

7,424,626 has the prime decomposition 2 × 11 × 349 × 967. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 349 × 967
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,196,800
Proper Divisor Sum 4,772,174
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7424617 ← → #7424629

Radix Representation

Decimal 7424626
Binary 11100010100101001110010 (23 bits)
Octal 0o34245162
Hexadecimal 0x714A72

Divisor Catalog (16)

1 2 11 22 349 698 967 1,934 3,839 7,678 10,637 21,274 337,483 674,966 3,712,313 7,424,626

Collatz Trajectory (85 steps to reach 1)

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

7,424,626 3,712,313 11,136,940 5,568,470 2,784,235 8,352,706 4,176,353 12,529,060 6,264,530 3,132,265 9,396,796 4,698,398 2,349,199 7,047,598 3,523,799 10,571,398 5,285,699 15,857,098 7,928,549 23,785,648 11,892,824 5,946,412 2,973,206 1,486,603 4,459,810 2,229,905 6,689,716 3,344,858 1,672,429 5,017,288 2,508,644 1,254,322 627,161 1,881,484 940,742 470,371 1,411,114 705,557 2,116,672 1,058,336 529,168 264,584 132,292 66,146 33,073 99,220 49,610 24,805 74,416 37,208 18,604 9,302 4,651 13,954 6,977 20,932 10,466 5,233 15,700 7,850

More profiles

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