7,078,671

3⁴ × 281 × 311

Starting at 7,078,671, the Collatz iteration reaches 1 after 266 steps. The first transition is 21236014; the starting value is odd with 20 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 281 × 311

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 10,646,064

Proper Divisor Sum 3,567,393

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7078667 ← → #7078693

Radix Representation

Decimal	7078671
Binary	11011000000001100001111 (23 bits)
Octal	0o33001417
Hexadecimal	0x6C030F

Divisor Catalog (20)

1 3 9 27 81 281 311 843 933 2,529 2,799 7,587 8,397 22,761 25,191 87,391 262,173 786,519 2,359,557 7,078,671

Collatz Trajectory (266 steps to reach 1)

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

7,078,671 21,236,014 10,618,007 31,854,022 15,927,011 47,781,034 23,890,517 71,671,552 35,835,776 17,917,888 8,958,944 4,479,472 2,239,736 1,119,868 559,934 279,967 839,902 419,951 1,259,854 629,927 1,889,782 944,891 2,834,674 1,417,337 4,252,012 2,126,006 1,063,003 3,189,010 1,594,505 4,783,516 2,391,758 1,195,879 3,587,638 1,793,819 5,381,458 2,690,729 8,072,188 4,036,094 2,018,047 6,054,142 3,027,071 9,081,214 4,540,607 13,621,822 6,810,911 20,432,734 10,216,367 30,649,102 15,324,551 45,973,654 22,986,827 68,960,482 34,480,241 103,440,724 51,720,362 25,860,181 77,580,544 38,790,272 19,395,136 9,697,568

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