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Atlas › Integer Profiles › Node 21,397,558

21,397,558

2 × 7 × 13 × 89 × 1321
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 13 × 89 × 1321
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 39,977,280
Proper Divisor Sum 18,579,722
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #21397517 ← → #21397559

Radix Representation

Decimal 21397558
Binary 1010001101000000000110110 (25 bits)
Octal 0o121500066
Hexadecimal 0x1468036

Divisor Catalog (32)

1 2 7 13 14 26 89 91 178 182 623 1,157 1,246 1,321 2,314 2,642 8,099 9,247 16,198 17,173 18,494 34,346 117,569 120,211 235,138 240,422 822,983 1,528,397 1,645,966 3,056,794 10,698,779 21,397,558

Collatz Trajectory (159 steps to reach 1)

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

21,397,558 10,698,779 32,096,338 16,048,169 48,144,508 24,072,254 12,036,127 36,108,382 18,054,191 54,162,574 27,081,287 81,243,862 40,621,931 121,865,794 60,932,897 182,798,692 91,399,346 45,699,673 137,099,020 68,549,510 34,274,755 102,824,266 51,412,133 154,236,400 77,118,200 38,559,100 19,279,550 9,639,775 28,919,326 14,459,663 43,378,990 21,689,495 65,068,486 32,534,243 97,602,730 48,801,365 146,404,096 73,202,048 36,601,024 18,300,512 9,150,256 4,575,128 2,287,564 1,143,782 571,891 1,715,674 857,837 2,573,512 1,286,756 643,378 321,689 965,068 482,534 241,267 723,802 361,901 1,085,704 542,852 271,426 135,713

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