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Atlas › Integer Profiles › Node 4,569,448

4,569,448

23 × 13 × 53 × 829
Abundant Even Composite

4,569,448 factors as 2^3 × 13 × 53 × 829. Its 32 positive divisors give a proper-divisor sum of 4,842,752, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 53 × 829
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,412,200
Proper Divisor Sum 4,842,752
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #4569437 ← → #4569469

Radix Representation

Decimal 4569448
Binary 10001011011100101101000 (23 bits)
Octal 0o21334550
Hexadecimal 0x45B968

Divisor Catalog (32)

1 2 4 8 13 26 52 53 104 106 212 424 689 829 1,378 1,658 2,756 3,316 5,512 6,632 10,777 21,554 43,108 43,937 86,216 87,874 175,748 351,496 571,181 1,142,362 2,284,724 4,569,448

Collatz Trajectory (79 steps to reach 1)

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

4,569,448 2,284,724 1,142,362 571,181 1,713,544 856,772 428,386 214,193 642,580 321,290 160,645 481,936 240,968 120,484 60,242 30,121 90,364 45,182 22,591 67,774 33,887 101,662 50,831 152,494 76,247 228,742 114,371 343,114 171,557 514,672 257,336 128,668 64,334 32,167 96,502 48,251 144,754 72,377 217,132 108,566 54,283 162,850 81,425 244,276 122,138 61,069 183,208 91,604 45,802 22,901 68,704 34,352 17,176 8,588 4,294 2,147 6,442 3,221 9,664 4,832

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