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Atlas › Integer Profiles › Node 4,592,900

4,592,900

22 × 52 × 13 × 3533
Abundant Even Composite

4,592,900 factors as 2^2 × 5^2 × 13 × 3533. Its 36 positive divisors give a proper-divisor sum of 6,143,392, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 13 × 3533
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 10,736,292
Proper Divisor Sum 6,143,392
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4592899 ← → #4592911

Radix Representation

Decimal 4592900
Binary 10001100001010100000100 (23 bits)
Octal 0o21412404
Hexadecimal 0x461504

Divisor Catalog (36)

1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1,300 3,533 7,066 14,132 17,665 35,330 45,929 70,660 88,325 91,858 176,650 183,716 229,645 353,300 459,290 918,580 1,148,225 2,296,450 4,592,900

Collatz Trajectory (180 steps to reach 1)

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

4,592,900 2,296,450 1,148,225 3,444,676 1,722,338 861,169 2,583,508 1,291,754 645,877 1,937,632 968,816 484,408 242,204 121,102 60,551 181,654 90,827 272,482 136,241 408,724 204,362 102,181 306,544 153,272 76,636 38,318 19,159 57,478 28,739 86,218 43,109 129,328 64,664 32,332 16,166 8,083 24,250 12,125 36,376 18,188 9,094 4,547 13,642 6,821 20,464 10,232 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158

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