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Atlas › Integer Profiles › Node 2,319,084

2,319,084

22 × 33 × 109 × 197
Abundant Even Composite

2,319,084 factors as 2^2 × 3^3 × 109 × 197. Its 48 positive divisors give a proper-divisor sum of 3,779,316, so this integer is abundant. The Collatz stopping time is 254 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 109 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,098,400
Proper Divisor Sum 3,779,316
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2319077 ← → #2319091

Radix Representation

Decimal 2319084
Binary 1000110110001011101100 (22 bits)
Octal 0o10661354
Hexadecimal 0x2362EC

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 54 108 109 197 218 327 394 436 591 654 788 981 1,182 1,308 1,773 1,962 2,364 2,943 3,546 3,924 5,319 5,886 7,092 10,638 11,772 21,276 21,473 42,946 64,419 85,892 128,838 193,257 257,676 386,514 579,771 773,028 1,159,542 2,319,084

Collatz Trajectory (254 steps to reach 1)

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

2,319,084 1,159,542 579,771 1,739,314 869,657 2,608,972 1,304,486 652,243 1,956,730 978,365 2,935,096 1,467,548 733,774 366,887 1,100,662 550,331 1,650,994 825,497 2,476,492 1,238,246 619,123 1,857,370 928,685 2,786,056 1,393,028 696,514 348,257 1,044,772 522,386 261,193 783,580 391,790 195,895 587,686 293,843 881,530 440,765 1,322,296 661,148 330,574 165,287 495,862 247,931 743,794 371,897 1,115,692 557,846 278,923 836,770 418,385 1,255,156 627,578 313,789 941,368 470,684 235,342 117,671 353,014 176,507 529,522

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