λ
Sequence Observatory

6,301,491

3 × 7 × 101 × 2971
Deficient Odd Composite

Starting at 6,301,491, the Collatz iteration reaches 1 after 103 steps. The first transition is 18904474; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 101 × 2971
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,700,608
Proper Divisor Sum 3,399,117
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6301487 ← → #6301501

Radix Representation

Decimal 6301491
Binary 11000000010011100110011 (23 bits)
Octal 0o30023463
Hexadecimal 0x602733

Divisor Catalog (16)

1 3 7 21 101 303 707 2,121 2,971 8,913 20,797 62,391 300,071 900,213 2,100,497 6,301,491

Collatz Trajectory (103 steps to reach 1)

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

6,301,491 18,904,474 9,452,237 28,356,712 14,178,356 7,089,178 3,544,589 10,633,768 5,316,884 2,658,442 1,329,221 3,987,664 1,993,832 996,916 498,458 249,229 747,688 373,844 186,922 93,461 280,384 140,192 70,096 35,048 17,524 8,762 4,381 13,144 6,572 3,286 1,643 4,930 2,465 7,396 3,698 1,849 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114

More profiles

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