6,342,440

2³ × 5 × 13 × 12197

6,342,440 has the prime decomposition 2^3 × 5 × 13 × 12197. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 12197

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,369,480

Proper Divisor Sum 9,027,040

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #6342419 ← → #6342443

Radix Representation

Decimal	6342440
Binary	11000001100011100101000 (23 bits)
Octal	0o30143450
Hexadecimal	0x60C728

Divisor Catalog (32)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 12,197 24,394 48,788 60,985 97,576 121,970 158,561 243,940 317,122 487,880 634,244 792,805 1,268,488 1,585,610 3,171,220 6,342,440

Collatz Trajectory (103 steps to reach 1)

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

6,342,440 3,171,220 1,585,610 792,805 2,378,416 1,189,208 594,604 297,302 148,651 445,954 222,977 668,932 334,466 167,233 501,700 250,850 125,425 376,276 188,138 94,069 282,208 141,104 70,552 35,276 17,638 8,819 26,458 13,229 39,688 19,844 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256

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