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Atlas › Integer Profiles › Node 6,902,244

6,902,244

22 × 32 × 19 × 10091
Abundant Even Composite

6,902,244 factors as 2^2 × 3^2 × 19 × 10091. Its 36 positive divisors give a proper-divisor sum of 11,465,196, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 19 × 10091
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 18,367,440
Proper Divisor Sum 11,465,196
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6902237 ← → #6902257

Radix Representation

Decimal 6902244
Binary 11010010101000111100100 (23 bits)
Octal 0o32250744
Hexadecimal 0x6951E4

Divisor Catalog (36)

1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 10,091 20,182 30,273 40,364 60,546 90,819 121,092 181,638 191,729 363,276 383,458 575,187 766,916 1,150,374 1,725,561 2,300,748 3,451,122 6,902,244

Collatz Trajectory (103 steps to reach 1)

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

6,902,244 3,451,122 1,725,561 5,176,684 2,588,342 1,294,171 3,882,514 1,941,257 5,823,772 2,911,886 1,455,943 4,367,830 2,183,915 6,551,746 3,275,873 9,827,620 4,913,810 2,456,905 7,370,716 3,685,358 1,842,679 5,528,038 2,764,019 8,292,058 4,146,029 12,438,088 6,219,044 3,109,522 1,554,761 4,664,284 2,332,142 1,166,071 3,498,214 1,749,107 5,247,322 2,623,661 7,870,984 3,935,492 1,967,746 983,873 2,951,620 1,475,810 737,905 2,213,716 1,106,858 553,429 1,660,288 830,144 415,072 207,536 103,768 51,884 25,942 12,971 38,914 19,457 58,372 29,186 14,593 43,780

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