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Atlas › Integer Profiles › Node 21,398,888

21,398,888

23 × 72 × 79 × 691
Abundant Even Composite

21,398,888 factors as 2^3 × 7^2 × 79 × 691. Its 48 positive divisors give a proper-divisor sum of 25,933,912, so this integer is abundant. The Collatz stopping time is 71 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 79 × 691
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 47,332,800
Proper Divisor Sum 25,933,912
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #21398873 ← → #21398899

Radix Representation

Decimal 21398888
Binary 1010001101000010101101000 (25 bits)
Octal 0o121502550
Hexadecimal 0x1468568

Divisor Catalog (48)

1 2 4 7 8 14 28 49 56 79 98 158 196 316 392 553 632 691 1,106 1,382 2,212 2,764 3,871 4,424 4,837 5,528 7,742 9,674 15,484 19,348 30,968 33,859 38,696 54,589 67,718 109,178 135,436 218,356 270,872 382,123 436,712 764,246 1,528,492 2,674,861 3,056,984 5,349,722 10,699,444 21,398,888

Collatz Trajectory (71 steps to reach 1)

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

21,398,888 10,699,444 5,349,722 2,674,861 8,024,584 4,012,292 2,006,146 1,003,073 3,009,220 1,504,610 752,305 2,256,916 1,128,458 564,229 1,692,688 846,344 423,172 211,586 105,793 317,380 158,690 79,345 238,036 119,018 59,509 178,528 89,264 44,632 22,316 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106

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