λ
Integer Codex

6,242,706

2 × 32 × 17 × 23 × 887
Abundant Even Composite

For 6,242,706, the 48 positive divisors have a total of 14,961,024. Removing 6,242,706 leaves 8,718,318, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 23 × 887
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,961,024
Proper Divisor Sum 8,718,318
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6242693 ← → #6242713

Radix Representation

Decimal 6242706
Binary 10111110100000110010010 (23 bits)
Octal 0o27640622
Hexadecimal 0x5F4192

Divisor Catalog (48)

1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 306 391 414 782 887 1,173 1,774 2,346 2,661 3,519 5,322 7,038 7,983 15,079 15,966 20,401 30,158 40,802 45,237 61,203 90,474 122,406 135,711 183,609 271,422 346,817 367,218 693,634 1,040,451 2,080,902 3,121,353 6,242,706

Collatz Trajectory (165 steps to reach 1)

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

6,242,706 3,121,353 9,364,060 4,682,030 2,341,015 7,023,046 3,511,523 10,534,570 5,267,285 15,801,856 7,900,928 3,950,464 1,975,232 987,616 493,808 246,904 123,452 61,726 30,863 92,590 46,295 138,886 69,443 208,330 104,165 312,496 156,248 78,124 39,062 19,531 58,594 29,297 87,892 43,946 21,973 65,920 32,960 16,480 8,240 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31

More profiles

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