7,084,275

3 × 5² × 11 × 31 × 277

Starting at 7,084,275, the Collatz iteration reaches 1 after 191 steps. The first transition is 21252826; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 11 × 31 × 277

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 13,237,248

Proper Divisor Sum 6,152,973

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7084271 ← → #7084277

Radix Representation

Decimal	7084275
Binary	11011000001100011110011 (23 bits)
Octal	0o33014363
Hexadecimal	0x6C18F3

Divisor Catalog (48)

1 3 5 11 15 25 31 33 55 75 93 155 165 275 277 341 465 775 825 831 1,023 1,385 1,705 2,325 3,047 4,155 5,115 6,925 8,525 8,587 9,141 15,235 20,775 25,575 25,761 42,935 45,705 76,175 94,457 128,805 214,675 228,525 283,371 472,285 644,025 1,416,855 2,361,425 7,084,275

Collatz Trajectory (191 steps to reach 1)

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

7,084,275 21,252,826 10,626,413 31,879,240 15,939,620 7,969,810 3,984,905 11,954,716 5,977,358 2,988,679 8,966,038 4,483,019 13,449,058 6,724,529 20,173,588 10,086,794 5,043,397 15,130,192 7,565,096 3,782,548 1,891,274 945,637 2,836,912 1,418,456 709,228 354,614 177,307 531,922 265,961 797,884 398,942 199,471 598,414 299,207 897,622 448,811 1,346,434 673,217 2,019,652 1,009,826 504,913 1,514,740 757,370 378,685 1,136,056 568,028 284,014 142,007 426,022 213,011 639,034 319,517 958,552 479,276 239,638 119,819 359,458 179,729 539,188 269,594

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