λ
Integer Codex

4,988,064

25 × 3 × 223 × 233
Abundant Even Composite

For 4,988,064, the 48 positive divisors have a total of 13,208,832. Removing 4,988,064 leaves 8,220,768, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^5 × 3 × 223 × 233
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,208,832
Proper Divisor Sum 8,220,768
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4988057 ← → #4988077

Radix Representation

Decimal 4988064
Binary 10011000001110010100000 (23 bits)
Octal 0o23016240
Hexadecimal 0x4C1CA0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 96 223 233 446 466 669 699 892 932 1,338 1,398 1,784 1,864 2,676 2,796 3,568 3,728 5,352 5,592 7,136 7,456 10,704 11,184 21,408 22,368 51,959 103,918 155,877 207,836 311,754 415,672 623,508 831,344 1,247,016 1,662,688 2,494,032 4,988,064

Collatz Trajectory (56 steps to reach 1)

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

4,988,064 2,494,032 1,247,016 623,508 311,754 155,877 467,632 233,816 116,908 58,454 29,227 87,682 43,841 131,524 65,762 32,881 98,644 49,322 24,661 73,984 36,992 18,496 9,248 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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