λ
Integer Codex

5,229,024

25 × 3 × 54469
Abundant Even Composite

For 5,229,024, the 24 positive divisors have a total of 13,726,440. Removing 5,229,024 leaves 8,497,416, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^5 × 3 × 54469
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,726,440
Proper Divisor Sum 8,497,416
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5229023 ← → #5229031

Radix Representation

Decimal 5229024
Binary 10011111100100111100000 (23 bits)
Octal 0o23744740
Hexadecimal 0x4FC9E0

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 54,469 108,938 163,407 217,876 326,814 435,752 653,628 871,504 1,307,256 1,743,008 2,614,512 5,229,024

Collatz Trajectory (188 steps to reach 1)

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

5,229,024 2,614,512 1,307,256 653,628 326,814 163,407 490,222 245,111 735,334 367,667 1,103,002 551,501 1,654,504 827,252 413,626 206,813 620,440 310,220 155,110 77,555 232,666 116,333 349,000 174,500 87,250 43,625 130,876 65,438 32,719 98,158 49,079 147,238 73,619 220,858 110,429 331,288 165,644 82,822 41,411 124,234 62,117 186,352 93,176 46,588 23,294 11,647 34,942 17,471 52,414 26,207 78,622 39,311 117,934 58,967 176,902 88,451 265,354 132,677 398,032 199,016

More profiles

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