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Atlas › Integer Profiles › Node 13,633,720

13,633,720

23 × 5 × 53 × 59 × 109
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 53 × 59 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 32,076,000
Proper Divisor Sum 18,442,280
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #13633717 ← → #13633747

Radix Representation

Decimal 13633720
Binary 110100000000100010111000 (24 bits)
Octal 0o64004270
Hexadecimal 0xD008B8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 40 53 59 106 109 118 212 218 236 265 295 424 436 472 530 545 590 872 1,060 1,090 1,180 2,120 2,180 2,360 3,127 4,360 5,777 6,254 6,431 11,554 12,508 12,862 15,635 23,108 25,016 25,724 28,885 31,270 32,155 46,216 51,448 57,770 62,540 64,310 115,540 125,080 128,620 231,080 257,240 340,843 681,686 1,363,372 1,704,215

Collatz Trajectory (86 steps to reach 1)

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

13,633,720 6,816,860 3,408,430 1,704,215 5,112,646 2,556,323 7,668,970 3,834,485 11,503,456 5,751,728 2,875,864 1,437,932 718,966 359,483 1,078,450 539,225 1,617,676 808,838 404,419 1,213,258 606,629 1,819,888 909,944 454,972 227,486 113,743 341,230 170,615 511,846 255,923 767,770 383,885 1,151,656 575,828 287,914 143,957 431,872 215,936 107,968 53,984 26,992 13,496 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67

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