λ
Math Directory

8,078,065

5 × 1615613
Deficient Odd Composite

8,078,065 factors as 5 × 1615613. Its 4 positive divisors give a proper-divisor sum of 1,615,619, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 5 × 1615613
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,693,684
Proper Divisor Sum 1,615,619
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8078053 ← → #8078069

Radix Representation

Decimal 8078065
Binary 11110110100001011110001 (23 bits)
Octal 0o36641361
Hexadecimal 0x7B42F1

Divisor Catalog (4)

1 5 1,615,613 8,078,065

Collatz Trajectory (155 steps to reach 1)

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

8,078,065 24,234,196 12,117,098 6,058,549 18,175,648 9,087,824 4,543,912 2,271,956 1,135,978 567,989 1,703,968 851,984 425,992 212,996 106,498 53,249 159,748 79,874 39,937 119,812 59,906 29,953 89,860 44,930 22,465 67,396 33,698 16,849 50,548 25,274 12,637 37,912 18,956 9,478 4,739 14,218 7,109 21,328 10,664 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242

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