λ
Prime Ledger

6,342,729

3 × 2114243
Deficient Odd Composite

6,342,729 has the prime decomposition 3 × 2114243. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 2114243
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,456,976
Proper Divisor Sum 2,114,247
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6342691 ← → #6342731

Radix Representation

Decimal 6342729
Binary 11000001100100001001001 (23 bits)
Octal 0o30144111
Hexadecimal 0x60C849

Divisor Catalog (4)

1 3 2,114,243 6,342,729

Collatz Trajectory (240 steps to reach 1)

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

6,342,729 19,028,188 9,514,094 4,757,047 14,271,142 7,135,571 21,406,714 10,703,357 32,110,072 16,055,036 8,027,518 4,013,759 12,041,278 6,020,639 18,061,918 9,030,959 27,092,878 13,546,439 40,639,318 20,319,659 60,958,978 30,479,489 91,438,468 45,719,234 22,859,617 68,578,852 34,289,426 17,144,713 51,434,140 25,717,070 12,858,535 38,575,606 19,287,803 57,863,410 28,931,705 86,795,116 43,397,558 21,698,779 65,096,338 32,548,169 97,644,508 48,822,254 24,411,127 73,233,382 36,616,691 109,850,074 54,925,037 164,775,112 82,387,556 41,193,778 20,596,889 61,790,668 30,895,334 15,447,667 46,343,002 23,171,501 69,514,504 34,757,252 17,378,626 8,689,313

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