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Atlas › Integer Profiles › Node 4,353,836

4,353,836

22 × 17 × 43 × 1489
Deficient Even Composite

4,353,836 factors as 2^2 × 17 × 43 × 1489. Its 24 positive divisors give a proper-divisor sum of 3,906,724, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 43 × 1489
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,260,560
Proper Divisor Sum 3,906,724
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4353823 ← → #4353847

Radix Representation

Decimal 4353836
Binary 10000100110111100101100 (23 bits)
Octal 0o20467454
Hexadecimal 0x426F2C

Divisor Catalog (24)

1 2 4 17 34 43 68 86 172 731 1,462 1,489 2,924 2,978 5,956 25,313 50,626 64,027 101,252 128,054 256,108 1,088,459 2,176,918 4,353,836

Collatz Trajectory (105 steps to reach 1)

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

4,353,836 2,176,918 1,088,459 3,265,378 1,632,689 4,898,068 2,449,034 1,224,517 3,673,552 1,836,776 918,388 459,194 229,597 688,792 344,396 172,198 86,099 258,298 129,149 387,448 193,724 96,862 48,431 145,294 72,647 217,942 108,971 326,914 163,457 490,372 245,186 122,593 367,780 183,890 91,945 275,836 137,918 68,959 206,878 103,439 310,318 155,159 465,478 232,739 698,218 349,109 1,047,328 523,664 261,832 130,916 65,458 32,729 98,188 49,094 24,547 73,642 36,821 110,464 55,232 27,616

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