λ
Integer Codex

5,480,004

22 × 3 × 313 × 1459
Abundant Even Composite

For 5,480,004, the 24 positive divisors have a total of 12,836,320. Removing 5,480,004 leaves 7,356,316, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 313 × 1459
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,836,320
Proper Divisor Sum 7,356,316
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5479987 ← → #5480009

Radix Representation

Decimal 5480004
Binary 10100111001111001000100 (23 bits)
Octal 0o24717104
Hexadecimal 0x539E44

Divisor Catalog (24)

1 2 3 4 6 12 313 626 939 1,252 1,459 1,878 2,918 3,756 4,377 5,836 8,754 17,508 456,667 913,334 1,370,001 1,826,668 2,740,002 5,480,004

Collatz Trajectory (201 steps to reach 1)

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

5,480,004 2,740,002 1,370,001 4,110,004 2,055,002 1,027,501 3,082,504 1,541,252 770,626 385,313 1,155,940 577,970 288,985 866,956 433,478 216,739 650,218 325,109 975,328 487,664 243,832 121,916 60,958 30,479 91,438 45,719 137,158 68,579 205,738 102,869 308,608 154,304 77,152 38,576 19,288 9,644 4,822 2,411 7,234 3,617 10,852 5,426 2,713 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967

More profiles

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