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Atlas › Integer Profiles › Node 5,254,678

5,254,678

2 × 11 × 13 × 19 × 967
Deficient Even Composite

5,254,678 factors as 2 × 11 × 13 × 19 × 967. Its 32 positive divisors give a proper-divisor sum of 4,502,762, so this integer is deficient. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 19 × 967
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,757,440
Proper Divisor Sum 4,502,762
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5254673 ← → #5254687

Radix Representation

Decimal 5254678
Binary 10100000010111000010110 (23 bits)
Octal 0o24027026
Hexadecimal 0x502E16

Divisor Catalog (32)

1 2 11 13 19 22 26 38 143 209 247 286 418 494 967 1,934 2,717 5,434 10,637 12,571 18,373 21,274 25,142 36,746 138,281 202,103 238,849 276,562 404,206 477,698 2,627,339 5,254,678

Collatz Trajectory (219 steps to reach 1)

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

5,254,678 2,627,339 7,882,018 3,941,009 11,823,028 5,911,514 2,955,757 8,867,272 4,433,636 2,216,818 1,108,409 3,325,228 1,662,614 831,307 2,493,922 1,246,961 3,740,884 1,870,442 935,221 2,805,664 1,402,832 701,416 350,708 175,354 87,677 263,032 131,516 65,758 32,879 98,638 49,319 147,958 73,979 221,938 110,969 332,908 166,454 83,227 249,682 124,841 374,524 187,262 93,631 280,894 140,447 421,342 210,671 632,014 316,007 948,022 474,011 1,422,034 711,017 2,133,052 1,066,526 533,263 1,599,790 799,895 2,399,686 1,199,843

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