7,165,722

2 × 3 × 83 × 14389

Starting at 7,165,722, the Collatz iteration reaches 1 after 129 steps. The first transition is 3582861; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 83 × 14389

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,505,120

Proper Divisor Sum 7,339,398

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7165699 ← → #7165729

Radix Representation

Decimal	7165722
Binary	11011010101011100011010 (23 bits)
Octal	0o33253432
Hexadecimal	0x6D571A

Divisor Catalog (16)

1 2 3 6 83 166 249 498 14,389 28,778 43,167 86,334 1,194,287 2,388,574 3,582,861 7,165,722

Collatz Trajectory (129 steps to reach 1)

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

7,165,722 3,582,861 10,748,584 5,374,292 2,687,146 1,343,573 4,030,720 2,015,360 1,007,680 503,840 251,920 125,960 62,980 31,490 15,745 47,236 23,618 11,809 35,428 17,714 8,857 26,572 13,286 6,643 19,930 9,965 29,896 14,948 7,474 3,737 11,212 5,606 2,803 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520

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