7,095,270

2 × 3 × 5 × 7 × 13 × 23 × 113

Starting at 7,095,270, the Collatz iteration reaches 1 after 235 steps. The first transition is 3547635; the starting value is even with 128 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 13 × 23 × 113

Distinct Prime Factors 7

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 22,063,104

Proper Divisor Sum 14,967,834

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7095241 ← → #7095271

Radix Representation

Decimal	7095270
Binary	11011000100001111100110 (23 bits)
Octal	0o33041746
Hexadecimal	0x6C43E6

Divisor Catalog (60 of 128)

1 2 3 5 6 7 10 13 14 15 21 23 26 30 35 39 42 46 65 69 70 78 91 105 113 115 130 138 161 182 195 210 226 230 273 299 322 339 345 390 455 483 546 565 598 678 690 791 805 897 910 966 1,130 1,365 1,469 1,495 1,582 1,610 1,695 1,794

Collatz Trajectory (235 steps to reach 1)

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

7,095,270 3,547,635 10,642,906 5,321,453 15,964,360 7,982,180 3,991,090 1,995,545 5,986,636 2,993,318 1,496,659 4,489,978 2,244,989 6,734,968 3,367,484 1,683,742 841,871 2,525,614 1,262,807 3,788,422 1,894,211 5,682,634 2,841,317 8,523,952 4,261,976 2,130,988 1,065,494 532,747 1,598,242 799,121 2,397,364 1,198,682 599,341 1,798,024 899,012 449,506 224,753 674,260 337,130 168,565 505,696 252,848 126,424 63,212 31,606 15,803 47,410 23,705 71,116 35,558 17,779 53,338 26,669 80,008 40,004 20,002 10,001 30,004 15,002 7,501

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