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Atlas › Integer Profiles › Node 3,592,200

3,592,200

23 × 3 × 52 × 5987
Abundant Even Composite

3,592,200 factors as 2^3 × 3 × 5^2 × 5987. Its 48 positive divisors give a proper-divisor sum of 7,545,480, so this integer is abundant. The Collatz stopping time is 265 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 5987
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,137,680
Proper Divisor Sum 7,545,480
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3592109 ← → #3592213

Radix Representation

Decimal 3592200
Binary 1101101101000000001000 (22 bits)
Octal 0o15550010
Hexadecimal 0x36D008

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 5,987 11,974 17,961 23,948 29,935 35,922 47,896 59,870 71,844 89,805 119,740 143,688 149,675 179,610 239,480 299,350 359,220 449,025 598,700 718,440 898,050 1,197,400 1,796,100 3,592,200

Collatz Trajectory (265 steps to reach 1)

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

3,592,200 1,796,100 898,050 449,025 1,347,076 673,538 336,769 1,010,308 505,154 252,577 757,732 378,866 189,433 568,300 284,150 142,075 426,226 213,113 639,340 319,670 159,835 479,506 239,753 719,260 359,630 179,815 539,446 269,723 809,170 404,585 1,213,756 606,878 303,439 910,318 455,159 1,365,478 682,739 2,048,218 1,024,109 3,072,328 1,536,164 768,082 384,041 1,152,124 576,062 288,031 864,094 432,047 1,296,142 648,071 1,944,214 972,107 2,916,322 1,458,161 4,374,484 2,187,242 1,093,621 3,280,864 1,640,432 820,216

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