λ
Integer Codex

8,407,884

22 × 3 × 491 × 1427
Abundant Even Composite

For 8,407,884, the 24 positive divisors have a total of 19,672,128. Removing 8,407,884 leaves 11,264,244, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 491 × 1427
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 19,672,128
Proper Divisor Sum 11,264,244
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8407879 ← → #8407907

Radix Representation

Decimal 8407884
Binary 100000000100101101001100 (24 bits)
Octal 0o40045514
Hexadecimal 0x804B4C

Divisor Catalog (24)

1 2 3 4 6 12 491 982 1,427 1,473 1,964 2,854 2,946 4,281 5,708 5,892 8,562 17,124 700,657 1,401,314 2,101,971 2,802,628 4,203,942 8,407,884

Collatz Trajectory (106 steps to reach 1)

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

8,407,884 4,203,942 2,101,971 6,305,914 3,152,957 9,458,872 4,729,436 2,364,718 1,182,359 3,547,078 1,773,539 5,320,618 2,660,309 7,980,928 3,990,464 1,995,232 997,616 498,808 249,404 124,702 62,351 187,054 93,527 280,582 140,291 420,874 210,437 631,312 315,656 157,828 78,914 39,457 118,372 59,186 29,593 88,780 44,390 22,195 66,586 33,293 99,880 49,940 24,970 12,485 37,456 18,728 9,364 4,682 2,341 7,024 3,512 1,756 878 439 1,318 659 1,978 989 2,968 1,484

More profiles

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