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Atlas › Integer Profiles › Node 5,199,844

5,199,844

22 × 13 × 192 × 277
Deficient Even Composite

5,199,844 factors as 2^2 × 13 × 19^2 × 277. Its 36 positive divisors give a proper-divisor sum of 5,180,120, so this integer is deficient. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 19^2 × 277
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 10,379,964
Proper Divisor Sum 5,180,120
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5199829 ← → #5199853

Radix Representation

Decimal 5199844
Binary 10011110101011111100100 (23 bits)
Octal 0o23653744
Hexadecimal 0x4F57E4

Divisor Catalog (36)

1 2 4 13 19 26 38 52 76 247 277 361 494 554 722 988 1,108 1,444 3,601 4,693 5,263 7,202 9,386 10,526 14,404 18,772 21,052 68,419 99,997 136,838 199,994 273,676 399,988 1,299,961 2,599,922 5,199,844

Collatz Trajectory (206 steps to reach 1)

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

5,199,844 2,599,922 1,299,961 3,899,884 1,949,942 974,971 2,924,914 1,462,457 4,387,372 2,193,686 1,096,843 3,290,530 1,645,265 4,935,796 2,467,898 1,233,949 3,701,848 1,850,924 925,462 462,731 1,388,194 694,097 2,082,292 1,041,146 520,573 1,561,720 780,860 390,430 195,215 585,646 292,823 878,470 439,235 1,317,706 658,853 1,976,560 988,280 494,140 247,070 123,535 370,606 185,303 555,910 277,955 833,866 416,933 1,250,800 625,400 312,700 156,350 78,175 234,526 117,263 351,790 175,895 527,686 263,843 791,530 395,765 1,187,296

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