7,085,080

2³ × 5 × 177127

Starting at 7,085,080, the Collatz iteration reaches 1 after 147 steps. The first transition is 3542540; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 177127

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,941,520

Proper Divisor Sum 8,856,440

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7085069 ← → #7085083

Radix Representation

Decimal	7085080
Binary	11011000001110000011000 (23 bits)
Octal	0o33016030
Hexadecimal	0x6C1C18

Divisor Catalog (16)

1 2 4 5 8 10 20 40 177,127 354,254 708,508 885,635 1,417,016 1,771,270 3,542,540 7,085,080

Collatz Trajectory (147 steps to reach 1)

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

7,085,080 3,542,540 1,771,270 885,635 2,656,906 1,328,453 3,985,360 1,992,680 996,340 498,170 249,085 747,256 373,628 186,814 93,407 280,222 140,111 420,334 210,167 630,502 315,251 945,754 472,877 1,418,632 709,316 354,658 177,329 531,988 265,994 132,997 398,992 199,496 99,748 49,874 24,937 74,812 37,406 18,703 56,110 28,055 84,166 42,083 126,250 63,125 189,376 94,688 47,344 23,672 11,836 5,918 2,959 8,878 4,439 13,318 6,659 19,978 9,989 29,968 14,984 7,492

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