λ
Prime Ledger

6,766,316

22 × 241 × 7019
Deficient Even Composite

6,766,316 has the prime decomposition 2^2 × 241 × 7019. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 241 × 7019
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,891,880
Proper Divisor Sum 5,125,564
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6766313 ← → #6766321

Radix Representation

Decimal 6766316
Binary 11001110011111011101100 (23 bits)
Octal 0o31637354
Hexadecimal 0x673EEC

Divisor Catalog (12)

1 2 4 241 482 964 7,019 14,038 28,076 1,691,579 3,383,158 6,766,316

Collatz Trajectory (178 steps to reach 1)

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

6,766,316 3,383,158 1,691,579 5,074,738 2,537,369 7,612,108 3,806,054 1,903,027 5,709,082 2,854,541 8,563,624 4,281,812 2,140,906 1,070,453 3,211,360 1,605,680 802,840 401,420 200,710 100,355 301,066 150,533 451,600 225,800 112,900 56,450 28,225 84,676 42,338 21,169 63,508 31,754 15,877 47,632 23,816 11,908 5,954 2,977 8,932 4,466 2,233 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199

More profiles

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