λ
Match Zalai

8,246,651

72 × 31 × 61 × 89
Deficient Odd Composite

8,246,651 factors as 7^2 × 31 × 61 × 89. Its 24 positive divisors give a proper-divisor sum of 1,931,269, so this integer is deficient. The Collatz stopping time is 168 steps.

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Prime Factor Structure

Factorization String 7^2 × 31 × 61 × 89
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,177,920
Proper Divisor Sum 1,931,269
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8246647 ← → #8246653

Radix Representation

Decimal 8246651
Binary 11111011101010101111011 (23 bits)
Octal 0o37352573
Hexadecimal 0x7DD57B

Divisor Catalog (5 of 24)

1 7 31 49 61

Collatz Trajectory (168 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

8,246,651 24,739,954 12,369,977 37,109,932 18,554,966

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