λ
Integer Codex

8,409,540

22 × 3 × 5 × 140159
Abundant Even Composite

For 8,409,540, the 24 positive divisors have a total of 23,546,880. Removing 8,409,540 leaves 15,137,340, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 140159
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 23,546,880
Proper Divisor Sum 15,137,340
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8409529 ← → #8409581

Radix Representation

Decimal 8409540
Binary 100000000101000111000100 (24 bits)
Octal 0o40050704
Hexadecimal 0x8051C4

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 140,159 280,318 420,477 560,636 700,795 840,954 1,401,590 1,681,908 2,102,385 2,803,180 4,204,770 8,409,540

Collatz Trajectory (168 steps to reach 1)

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

8,409,540 4,204,770 2,102,385 6,307,156 3,153,578 1,576,789 4,730,368 2,365,184 1,182,592 591,296 295,648 147,824 73,912 36,956 18,478 9,239 27,718 13,859 41,578 20,789 62,368 31,184 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248

More profiles

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