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Atlas › Integer Profiles › Node 3,580,352

3,580,352

26 × 43 × 1301
Abundant Even Composite

3,580,352 factors as 2^6 × 43 × 1301. Its 28 positive divisors give a proper-divisor sum of 3,695,224, so this integer is abundant. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2^6 × 43 × 1301
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 7,275,576
Proper Divisor Sum 3,695,224
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3580351 ← → #3580363

Radix Representation

Decimal 3580352
Binary 1101101010000111000000 (22 bits)
Octal 0o15520700
Hexadecimal 0x36A1C0

Divisor Catalog (28)

1 2 4 8 16 32 43 64 86 172 344 688 1,301 1,376 2,602 2,752 5,204 10,408 20,816 41,632 55,943 83,264 111,886 223,772 447,544 895,088 1,790,176 3,580,352

Collatz Trajectory (66 steps to reach 1)

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

3,580,352 1,790,176 895,088 447,544 223,772 111,886 55,943 167,830 83,915 251,746 125,873 377,620 188,810 94,405 283,216 141,608 70,804 35,402 17,701 53,104 26,552 13,276 6,638 3,319 9,958 4,979 14,938 7,469 22,408 11,204 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20

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