6,837,515

5 × 31² × 1423

Starting at 6,837,515, the Collatz iteration reaches 1 after 191 steps. The first transition is 20512546; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5 × 31^2 × 1423

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,484,192

Proper Divisor Sum 1,646,677

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6837499 ← → #6837521

Radix Representation

Decimal	6837515
Binary	11010000101010100001011 (23 bits)
Octal	0o32052413
Hexadecimal	0x68550B

Divisor Catalog (12)

1 5 31 155 961 1,423 4,805 7,115 44,113 220,565 1,367,503 6,837,515

Collatz Trajectory (191 steps to reach 1)

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

6,837,515 20,512,546 10,256,273 30,768,820 15,384,410 7,692,205 23,076,616 11,538,308 5,769,154 2,884,577 8,653,732 4,326,866 2,163,433 6,490,300 3,245,150 1,622,575 4,867,726 2,433,863 7,301,590 3,650,795 10,952,386 5,476,193 16,428,580 8,214,290 4,107,145 12,321,436 6,160,718 3,080,359 9,241,078 4,620,539 13,861,618 6,930,809 20,792,428 10,396,214 5,198,107 15,594,322 7,797,161 23,391,484 11,695,742 5,847,871 17,543,614 8,771,807 26,315,422 13,157,711 39,473,134 19,736,567 59,209,702 29,604,851 88,814,554 44,407,277 133,221,832 66,610,916 33,305,458 16,652,729 49,958,188 24,979,094 12,489,547 37,468,642 18,734,321 56,202,964

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