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Atlas › Integer Profiles › Node 21,364,096

21,364,096

27 × 13 × 37 × 347
Abundant Even Composite

21,364,096 factors as 2^7 × 13 × 37 × 347. Its 64 positive divisors give a proper-divisor sum of 25,845,584, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^7 × 13 × 37 × 347
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 47,209,680
Proper Divisor Sum 25,845,584
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #21364093 ← → #21364099

Radix Representation

Decimal 21364096
Binary 1010001011111110110000000 (25 bits)
Octal 0o121376600
Hexadecimal 0x145FD80

Divisor Catalog (60 of 64)

1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 208 296 347 416 481 592 694 832 962 1,184 1,388 1,664 1,924 2,368 2,776 3,848 4,511 4,736 5,552 7,696 9,022 11,104 12,839 15,392 18,044 22,208 25,678 30,784 36,088 44,416 51,356 61,568 72,176 102,712 144,352 166,907 205,424 288,704 333,814 410,848 577,408 667,628 821,696 1,335,256 1,643,392

Collatz Trajectory (120 steps to reach 1)

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

21,364,096 10,682,048 5,341,024 2,670,512 1,335,256 667,628 333,814 166,907 500,722 250,361 751,084 375,542 187,771 563,314 281,657 844,972 422,486 211,243 633,730 316,865 950,596 475,298 237,649 712,948 356,474 178,237 534,712 267,356 133,678 66,839 200,518 100,259 300,778 150,389 451,168 225,584 112,792 56,396 28,198 14,099 42,298 21,149 63,448 31,724 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589

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