7,089,280

2⁷ × 5 × 11 × 19 × 53

Starting at 7,089,280, the Collatz iteration reaches 1 after 98 steps. The first transition is 3544640; the starting value is even with 128 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 5 × 11 × 19 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 19,828,800

Proper Divisor Sum 12,739,520

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7089241 ← → #7089287

Radix Representation

Decimal	7089280
Binary	11011000010110010000000 (23 bits)
Octal	0o33026200
Hexadecimal	0x6C2C80

Divisor Catalog (60 of 128)

1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 53 55 64 76 80 88 95 106 110 128 152 160 176 190 209 212 220 265 304 320 352 380 418 424 440 530 583 608 640 704 760 836 848 880 1,007 1,045 1,060 1,166 1,216 1,408 1,520 1,672 1,696 1,760 2,014

Collatz Trajectory (98 steps to reach 1)

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

7,089,280 3,544,640 1,772,320 886,160 443,080 221,540 110,770 55,385 166,156 83,078 41,539 124,618 62,309 186,928 93,464 46,732 23,366 11,683 35,050 17,525 52,576 26,288 13,144 6,572 3,286 1,643 4,930 2,465 7,396 3,698 1,849 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209

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