λ
Prime Ledger

7,701,105

3 × 5 × 513407
Deficient Odd Composite

7,701,105 has the prime decomposition 3 × 5 × 513407. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 513407
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,321,792
Proper Divisor Sum 4,620,687
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #7701103 ← → #7701107

Radix Representation

Decimal 7701105
Binary 11101011000001001110001 (23 bits)
Octal 0o35301161
Hexadecimal 0x758271

Divisor Catalog (8)

1 3 5 15 513,407 1,540,221 2,567,035 7,701,105

Collatz Trajectory (72 steps to reach 1)

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

7,701,105 23,103,316 11,551,658 5,775,829 17,327,488 8,663,744 4,331,872 2,165,936 1,082,968 541,484 270,742 135,371 406,114 203,057 609,172 304,586 152,293 456,880 228,440 114,220 57,110 28,555 85,666 42,833 128,500 64,250 32,125 96,376 48,188 24,094 12,047 36,142 18,071 54,214 27,107 81,322 40,661 121,984 60,992 30,496 15,248 7,624 3,812 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227

More profiles

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