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Atlas › Integer Profiles › Node 21,016,528

21,016,528

24 × 13 × 79 × 1279
Abundant Even Composite

21,016,528 factors as 2^4 × 13 × 79 × 1279. Its 40 positive divisors give a proper-divisor sum of 23,425,072, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 79 × 1279
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 44,441,600
Proper Divisor Sum 23,425,072
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #21016519 ← → #21016547

Radix Representation

Decimal 21016528
Binary 1010000001010111111010000 (25 bits)
Octal 0o120127720
Hexadecimal 0x140AFD0

Divisor Catalog (40)

1 2 4 8 13 16 26 52 79 104 158 208 316 632 1,027 1,264 1,279 2,054 2,558 4,108 5,116 8,216 10,232 16,432 16,627 20,464 33,254 66,508 101,041 133,016 202,082 266,032 404,164 808,328 1,313,533 1,616,656 2,627,066 5,254,132 10,508,264 21,016,528

Collatz Trajectory (115 steps to reach 1)

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

21,016,528 10,508,264 5,254,132 2,627,066 1,313,533 3,940,600 1,970,300 985,150 492,575 1,477,726 738,863 2,216,590 1,108,295 3,324,886 1,662,443 4,987,330 2,493,665 7,480,996 3,740,498 1,870,249 5,610,748 2,805,374 1,402,687 4,208,062 2,104,031 6,312,094 3,156,047 9,468,142 4,734,071 14,202,214 7,101,107 21,303,322 10,651,661 31,954,984 15,977,492 7,988,746 3,994,373 11,983,120 5,991,560 2,995,780 1,497,890 748,945 2,246,836 1,123,418 561,709 1,685,128 842,564 421,282 210,641 631,924 315,962 157,981 473,944 236,972 118,486 59,243 177,730 88,865 266,596 133,298

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