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Atlas › Integer Profiles › Node 2,544,934

2,544,934

2 × 7 × 173 × 37
Deficient Even Composite

2,544,934 factors as 2 × 7 × 17^3 × 37. Its 32 positive divisors give a proper-divisor sum of 2,215,706, so this integer is deficient. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 2 × 7 × 17^3 × 37
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,760,640
Proper Divisor Sum 2,215,706
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2544931 ← → #2544943

Radix Representation

Decimal 2544934
Binary 1001101101010100100110 (22 bits)
Octal 0o11552446
Hexadecimal 0x26D526

Divisor Catalog (32)

1 2 7 14 17 34 37 74 119 238 259 289 518 578 629 1,258 2,023 4,046 4,403 4,913 8,806 9,826 10,693 21,386 34,391 68,782 74,851 149,702 181,781 363,562 1,272,467 2,544,934

Collatz Trajectory (218 steps to reach 1)

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

2,544,934 1,272,467 3,817,402 1,908,701 5,726,104 2,863,052 1,431,526 715,763 2,147,290 1,073,645 3,220,936 1,610,468 805,234 402,617 1,207,852 603,926 301,963 905,890 452,945 1,358,836 679,418 339,709 1,019,128 509,564 254,782 127,391 382,174 191,087 573,262 286,631 859,894 429,947 1,289,842 644,921 1,934,764 967,382 483,691 1,451,074 725,537 2,176,612 1,088,306 544,153 1,632,460 816,230 408,115 1,224,346 612,173 1,836,520 918,260 459,130 229,565 688,696 344,348 172,174 86,087 258,262 129,131 387,394 193,697 581,092

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