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Atlas › Integer Profiles › Node 3,552,250

3,552,250

2 × 53 × 13 × 1093
Abundant Even Composite

3,552,250 factors as 2 × 5^3 × 13 × 1093. Its 32 positive divisors give a proper-divisor sum of 3,615,638, so this integer is abundant. The Collatz stopping time is 221 steps.

Prime Factor Structure

Factorization String 2 × 5^3 × 13 × 1093
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,167,888
Proper Divisor Sum 3,615,638
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3552247 ← → #3552251

Radix Representation

Decimal 3552250
Binary 1101100011001111111010 (22 bits)
Octal 0o15431772
Hexadecimal 0x3633FA

Divisor Catalog (32)

1 2 5 10 13 25 26 50 65 125 130 250 325 650 1,093 1,625 2,186 3,250 5,465 10,930 14,209 27,325 28,418 54,650 71,045 136,625 142,090 273,250 355,225 710,450 1,776,125 3,552,250

Collatz Trajectory (221 steps to reach 1)

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

3,552,250 1,776,125 5,328,376 2,664,188 1,332,094 666,047 1,998,142 999,071 2,997,214 1,498,607 4,495,822 2,247,911 6,743,734 3,371,867 10,115,602 5,057,801 15,173,404 7,586,702 3,793,351 11,380,054 5,690,027 17,070,082 8,535,041 25,605,124 12,802,562 6,401,281 19,203,844 9,601,922 4,800,961 14,402,884 7,201,442 3,600,721 10,802,164 5,401,082 2,700,541 8,101,624 4,050,812 2,025,406 1,012,703 3,038,110 1,519,055 4,557,166 2,278,583 6,835,750 3,417,875 10,253,626 5,126,813 15,380,440 7,690,220 3,845,110 1,922,555 5,767,666 2,883,833 8,651,500 4,325,750 2,162,875 6,488,626 3,244,313 9,732,940 4,866,470

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