7,117,517

11 × 647047

Starting at 7,117,517, the Collatz iteration reaches 1 after 54 steps. The first transition is 21352552; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 11 × 647047

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,764,576

Proper Divisor Sum 647,059

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7117501 ← → #7117519

Radix Representation

Decimal	7117517
Binary	11011001001101011001101 (23 bits)
Octal	0o33115315
Hexadecimal	0x6C9ACD

Divisor Catalog (4)

1 11 647,047 7,117,517

Collatz Trajectory (54 steps to reach 1)

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

7,117,517 21,352,552 10,676,276 5,338,138 2,669,069 8,007,208 4,003,604 2,001,802 1,000,901 3,002,704 1,501,352 750,676 375,338 187,669 563,008 281,504 140,752 70,376 35,188 17,594 8,797 26,392 13,196 6,598 3,299 9,898 4,949 14,848 7,424 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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