6,827,787

3³ × 252881

Starting at 6,827,787, the Collatz iteration reaches 1 after 178 steps. The first transition is 20483362; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 252881

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,115,280

Proper Divisor Sum 3,287,493

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #6827759 ← → #6827797

Radix Representation

Decimal	6827787
Binary	11010000010111100001011 (23 bits)
Octal	0o32027413
Hexadecimal	0x682F0B

Divisor Catalog (8)

1 3 9 27 252,881 758,643 2,275,929 6,827,787

Collatz Trajectory (178 steps to reach 1)

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

6,827,787 20,483,362 10,241,681 30,725,044 15,362,522 7,681,261 23,043,784 11,521,892 5,760,946 2,880,473 8,641,420 4,320,710 2,160,355 6,481,066 3,240,533 9,721,600 4,860,800 2,430,400 1,215,200 607,600 303,800 151,900 75,950 37,975 113,926 56,963 170,890 85,445 256,336 128,168 64,084 32,042 16,021 48,064 24,032 12,016 6,008 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229

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