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Atlas › Integer Profiles › Node 8,023,344

8,023,344

24 × 3 × 7 × 23879
Abundant Even Composite

8,023,344 factors as 2^4 × 3 × 7 × 23879. Its 40 positive divisors give a proper-divisor sum of 15,665,616, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 23879
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 23,688,960
Proper Divisor Sum 15,665,616
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8023289 ← → #8023363

Radix Representation

Decimal 8023344
Binary 11110100110110100110000 (23 bits)
Octal 0o36466460
Hexadecimal 0x7A6D30

Divisor Catalog (40)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 23,879 47,758 71,637 95,516 143,274 167,153 191,032 286,548 334,306 382,064 501,459 573,096 668,612 1,002,918 1,146,192 1,337,224 2,005,836 2,674,448 4,011,672 8,023,344

Collatz Trajectory (142 steps to reach 1)

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

8,023,344 4,011,672 2,005,836 1,002,918 501,459 1,504,378 752,189 2,256,568 1,128,284 564,142 282,071 846,214 423,107 1,269,322 634,661 1,903,984 951,992 475,996 237,998 118,999 356,998 178,499 535,498 267,749 803,248 401,624 200,812 100,406 50,203 150,610 75,305 225,916 112,958 56,479 169,438 84,719 254,158 127,079 381,238 190,619 571,858 285,929 857,788 428,894 214,447 643,342 321,671 965,014 482,507 1,447,522 723,761 2,171,284 1,085,642 542,821 1,628,464 814,232 407,116 203,558 101,779 305,338

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