7,094,007

3³ × 262741

Starting at 7,094,007, the Collatz iteration reaches 1 after 85 steps. The first transition is 21282022; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 262741

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,509,680

Proper Divisor Sum 3,415,673

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7093987 ← → #7094023

Radix Representation

Decimal	7094007
Binary	11011000011111011110111 (23 bits)
Octal	0o33037367
Hexadecimal	0x6C3EF7

Divisor Catalog (8)

1 3 9 27 262,741 788,223 2,364,669 7,094,007

Collatz Trajectory (85 steps to reach 1)

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

7,094,007 21,282,022 10,641,011 31,923,034 15,961,517 47,884,552 23,942,276 11,971,138 5,985,569 17,956,708 8,978,354 4,489,177 13,467,532 6,733,766 3,366,883 10,100,650 5,050,325 15,150,976 7,575,488 3,787,744 1,893,872 946,936 473,468 236,734 118,367 355,102 177,551 532,654 266,327 798,982 399,491 1,198,474 599,237 1,797,712 898,856 449,428 224,714 112,357 337,072 168,536 84,268 42,134 21,067 63,202 31,601 94,804 47,402 23,701 71,104 35,552 17,776 8,888 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504

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