λ
Math Directory

7,977,509

31 × 257339
Deficient Odd Composite

7,977,509 factors as 31 × 257339. Its 4 positive divisors give a proper-divisor sum of 257,371, so this integer is deficient. The Collatz stopping time is 230 steps.

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Prime Factor Structure

Factorization String 31 × 257339
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,234,880
Proper Divisor Sum 257,371
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #7977503 ← → #7977517

Radix Representation

Decimal 7977509
Binary 11110011011101000100101 (23 bits)
Octal 0o36335045
Hexadecimal 0x79BA25

Divisor Catalog (4)

1 31 257,339 7,977,509

Collatz Trajectory (230 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.

7,977,509 23,932,528 11,966,264 5,983,132 2,991,566

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