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Atlas › Integer Profiles › Node 21,414,064

21,414,064

24 × 7 × 19 × 29 × 347
Abundant Even Composite

21,414,064 factors as 2^4 × 7 × 19 × 29 × 347. Its 80 positive divisors give a proper-divisor sum of 30,368,336, so this integer is abundant. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 19 × 29 × 347
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 51,782,400
Proper Divisor Sum 30,368,336
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #21414053 ← → #21414079

Radix Representation

Decimal 21414064
Binary 1010001101100000010110000 (25 bits)
Octal 0o121540260
Hexadecimal 0x146C0B0

Divisor Catalog (60 of 80)

1 2 4 7 8 14 16 19 28 29 38 56 58 76 112 116 133 152 203 232 266 304 347 406 464 532 551 694 812 1,064 1,102 1,388 1,624 2,128 2,204 2,429 2,776 3,248 3,857 4,408 4,858 5,552 6,593 7,714 8,816 9,716 10,063 13,186 15,428 19,432 20,126 26,372 30,856 38,864 40,252 46,151 52,744 61,712 70,441 80,504

Collatz Trajectory (66 steps to reach 1)

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

21,414,064 10,707,032 5,353,516 2,676,758 1,338,379 4,015,138 2,007,569 6,022,708 3,011,354 1,505,677 4,517,032 2,258,516 1,129,258 564,629 1,693,888 846,944 423,472 211,736 105,868 52,934 26,467 79,402 39,701 119,104 59,552 29,776 14,888 7,444 3,722 1,861 5,584 2,792 1,396 698 349 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20

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