7,089,176

2³ × 61 × 73 × 199

Starting at 7,089,176, the Collatz iteration reaches 1 after 98 steps. The first transition is 3544588; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 61 × 73 × 199

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 13,764,000

Proper Divisor Sum 6,674,824

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7089169 ← → #7089191

Radix Representation

Decimal	7089176
Binary	11011000010110000011000 (23 bits)
Octal	0o33026030
Hexadecimal	0x6C2C18

Divisor Catalog (32)

1 2 4 8 61 73 122 146 199 244 292 398 488 584 796 1,592 4,453 8,906 12,139 14,527 17,812 24,278 29,054 35,624 48,556 58,108 97,112 116,216 886,147 1,772,294 3,544,588 7,089,176

Collatz Trajectory (98 steps to reach 1)

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

7,089,176 3,544,588 1,772,294 886,147 2,658,442 1,329,221 3,987,664 1,993,832 996,916 498,458 249,229 747,688 373,844 186,922 93,461 280,384 140,192 70,096 35,048 17,524 8,762 4,381 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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