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Atlas › Integer Profiles › Node 4,356,200

4,356,200

23 × 52 × 23 × 947
Abundant Even Composite

4,356,200 factors as 2^3 × 5^2 × 23 × 947. Its 48 positive divisors give a proper-divisor sum of 6,223,480, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 23 × 947
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,579,680
Proper Divisor Sum 6,223,480
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4356181 ← → #4356211

Radix Representation

Decimal 4356200
Binary 10000100111100001101000 (23 bits)
Octal 0o20474150
Hexadecimal 0x427868

Divisor Catalog (48)

1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 947 1,150 1,894 2,300 3,788 4,600 4,735 7,576 9,470 18,940 21,781 23,675 37,880 43,562 47,350 87,124 94,700 108,905 174,248 189,400 217,810 435,620 544,525 871,240 1,089,050 2,178,100 4,356,200

Collatz Trajectory (211 steps to reach 1)

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

4,356,200 2,178,100 1,089,050 544,525 1,633,576 816,788 408,394 204,197 612,592 306,296 153,148 76,574 38,287 114,862 57,431 172,294 86,147 258,442 129,221 387,664 193,832 96,916 48,458 24,229 72,688 36,344 18,172 9,086 4,543 13,630 6,815 20,446 10,223 30,670 15,335 46,006 23,003 69,010 34,505 103,516 51,758 25,879 77,638 38,819 116,458 58,229 174,688 87,344 43,672 21,836 10,918 5,459 16,378 8,189 24,568 12,284 6,142 3,071 9,214 4,607

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