λ
Prime Ledger

7,420,974

2 × 3 × 11 × 229 × 491
Abundant Even Composite

7,420,974 has the prime decomposition 2 × 3 × 11 × 229 × 491. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 229 × 491
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,295,040
Proper Divisor Sum 8,874,066
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7420969 ← → #7421003

Radix Representation

Decimal 7420974
Binary 11100010011110000101110 (23 bits)
Octal 0o34236056
Hexadecimal 0x713C2E

Divisor Catalog (32)

1 2 3 6 11 22 33 66 229 458 491 687 982 1,374 1,473 2,519 2,946 5,038 5,401 7,557 10,802 15,114 16,203 32,406 112,439 224,878 337,317 674,634 1,236,829 2,473,658 3,710,487 7,420,974

Collatz Trajectory (204 steps to reach 1)

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

7,420,974 3,710,487 11,131,462 5,565,731 16,697,194 8,348,597 25,045,792 12,522,896 6,261,448 3,130,724 1,565,362 782,681 2,348,044 1,174,022 587,011 1,761,034 880,517 2,641,552 1,320,776 660,388 330,194 165,097 495,292 247,646 123,823 371,470 185,735 557,206 278,603 835,810 417,905 1,253,716 626,858 313,429 940,288 470,144 235,072 117,536 58,768 29,384 14,692 7,346 3,673 11,020 5,510 2,755 8,266 4,133 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309

More profiles

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