7,322,778

2 × 3³ × 135607

Starting at 7,322,778, the Collatz iteration reaches 1 after 173 steps. The first transition is 3661389; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 135607

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,272,960

Proper Divisor Sum 8,950,182

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7322753 ← → #7322779

Radix Representation

Decimal	7322778
Binary	11011111011110010011010 (23 bits)
Octal	0o33736232
Hexadecimal	0x6FBC9A

Divisor Catalog (16)

1 2 3 6 9 18 27 54 135,607 271,214 406,821 813,642 1,220,463 2,440,926 3,661,389 7,322,778

Collatz Trajectory (173 steps to reach 1)

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

7,322,778 3,661,389 10,984,168 5,492,084 2,746,042 1,373,021 4,119,064 2,059,532 1,029,766 514,883 1,544,650 772,325 2,316,976 1,158,488 579,244 289,622 144,811 434,434 217,217 651,652 325,826 162,913 488,740 244,370 122,185 366,556 183,278 91,639 274,918 137,459 412,378 206,189 618,568 309,284 154,642 77,321 231,964 115,982 57,991 173,974 86,987 260,962 130,481 391,444 195,722 97,861 293,584 146,792 73,396 36,698 18,349 55,048 27,524 13,762 6,881 20,644 10,322 5,161 15,484 7,742

← Previous Integer #7,322,777 Browse Full Index Next Integer #7,322,779 →