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Atlas › Integer Profiles › Node 4,548,232

4,548,232

23 × 13 × 101 × 433
Abundant Even Composite

4,548,232 factors as 2^3 × 13 × 101 × 433. Its 32 positive divisors give a proper-divisor sum of 4,748,048, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 101 × 433
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,296,280
Proper Divisor Sum 4,748,048
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4548217 ← → #4548241

Radix Representation

Decimal 4548232
Binary 10001010110011010001000 (23 bits)
Octal 0o21263210
Hexadecimal 0x456688

Divisor Catalog (32)

1 2 4 8 13 26 52 101 104 202 404 433 808 866 1,313 1,732 2,626 3,464 5,252 5,629 10,504 11,258 22,516 43,733 45,032 87,466 174,932 349,864 568,529 1,137,058 2,274,116 4,548,232

Collatz Trajectory (118 steps to reach 1)

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

4,548,232 2,274,116 1,137,058 568,529 1,705,588 852,794 426,397 1,279,192 639,596 319,798 159,899 479,698 239,849 719,548 359,774 179,887 539,662 269,831 809,494 404,747 1,214,242 607,121 1,821,364 910,682 455,341 1,366,024 683,012 341,506 170,753 512,260 256,130 128,065 384,196 192,098 96,049 288,148 144,074 72,037 216,112 108,056 54,028 27,014 13,507 40,522 20,261 60,784 30,392 15,196 7,598 3,799 11,398 5,699 17,098 8,549 25,648 12,824 6,412 3,206 1,603 4,810

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