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Atlas › Integer Profiles › Node 5,229,728

5,229,728

25 × 7 × 37 × 631
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 7 × 37 × 631
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,104,064
Proper Divisor Sum 6,874,336
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5229709 ← → #5229739

Radix Representation

Decimal 5229728
Binary 10011111100110010100000 (23 bits)
Octal 0o23746240
Hexadecimal 0x4FCCA0

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 631 1,036 1,184 1,262 2,072 2,524 4,144 4,417 5,048 8,288 8,834 10,096 17,668 20,192 23,347 35,336 46,694 70,672 93,388 141,344 163,429 186,776 326,858 373,552 653,716 747,104 1,307,432 2,614,864 5,229,728

Collatz Trajectory (51 steps to reach 1)

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

5,229,728 2,614,864 1,307,432 653,716 326,858 163,429 490,288 245,144 122,572 61,286 30,643 91,930 45,965 137,896 68,948 34,474 17,237 51,712 25,856 12,928 6,464 3,232 1,616 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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