6,851,159

7 × 409 × 2393

Starting at 6,851,159, the Collatz iteration reaches 1 after 59 steps. The first transition is 20553478; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 409 × 2393

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,852,320

Proper Divisor Sum 1,001,161

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6851149 ← → #6851167

Radix Representation

Decimal	6851159
Binary	11010001000101001010111 (23 bits)
Octal	0o32105127
Hexadecimal	0x688A57

Divisor Catalog (8)

1 7 409 2,393 2,863 16,751 978,737 6,851,159

Collatz Trajectory (59 steps to reach 1)

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

6,851,159 20,553,478 10,276,739 30,830,218 15,415,109 46,245,328 23,122,664 11,561,332 5,780,666 2,890,333 8,671,000 4,335,500 2,167,750 1,083,875 3,251,626 1,625,813 4,877,440 2,438,720 1,219,360 609,680 304,840 152,420 76,210 38,105 114,316 57,158 28,579 85,738 42,869 128,608 64,304 32,152 16,076 8,038 4,019 12,058 6,029 18,088 9,044 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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