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2,249,796

22 × 3 × 47 × 3989
Abundant Even Composite

2,249,796 factors as 2^2 × 3 × 47 × 3989. Its 24 positive divisors give a proper-divisor sum of 3,112,764, so this integer is abundant. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 47 × 3989
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,362,560
Proper Divisor Sum 3,112,764
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2249783 ← → #2249813

Radix Representation

Decimal 2249796
Binary 1000100101010001000100 (22 bits)
Octal 0o10452104
Hexadecimal 0x225444

Divisor Catalog (24)

1 2 3 4 6 12 47 94 141 188 282 564 3,989 7,978 11,967 15,956 23,934 47,868 187,483 374,966 562,449 749,932 1,124,898 2,249,796

Collatz Trajectory (109 steps to reach 1)

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

2,249,796 1,124,898 562,449 1,687,348 843,674 421,837 1,265,512 632,756 316,378 158,189 474,568 237,284 118,642 59,321 177,964 88,982 44,491 133,474 66,737 200,212 100,106 50,053 150,160 75,080 37,540 18,770 9,385 28,156 14,078 7,039 21,118 10,559 31,678 15,839 47,518 23,759 71,278 35,639 106,918 53,459 160,378 80,189 240,568 120,284 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273

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