7,256,380

2² × 5 × 29 × 12511

Starting at 7,256,380, the Collatz iteration reaches 1 after 191 steps. The first transition is 3628190; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 29 × 12511

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,765,120

Proper Divisor Sum 8,508,740

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7256369 ← → #7256393

Radix Representation

Decimal	7256380
Binary	11011101011100100111100 (23 bits)
Octal	0o33534474
Hexadecimal	0x6EB93C

Divisor Catalog (24)

1 2 4 5 10 20 29 58 116 145 290 580 12,511 25,022 50,044 62,555 125,110 250,220 362,819 725,638 1,451,276 1,814,095 3,628,190 7,256,380

Collatz Trajectory (191 steps to reach 1)

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

7,256,380 3,628,190 1,814,095 5,442,286 2,721,143 8,163,430 4,081,715 12,245,146 6,122,573 18,367,720 9,183,860 4,591,930 2,295,965 6,887,896 3,443,948 1,721,974 860,987 2,582,962 1,291,481 3,874,444 1,937,222 968,611 2,905,834 1,452,917 4,358,752 2,179,376 1,089,688 544,844 272,422 136,211 408,634 204,317 612,952 306,476 153,238 76,619 229,858 114,929 344,788 172,394 86,197 258,592 129,296 64,648 32,324 16,162 8,081 24,244 12,122 6,061 18,184 9,092 4,546 2,273 6,820 3,410 1,705 5,116 2,558 1,279

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