λ
Prime Ledger

6,478,636

22 × 107 × 15137
Deficient Even Composite

6,478,636 has the prime decomposition 2^2 × 107 × 15137. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 107 × 15137
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,444,328
Proper Divisor Sum 4,965,692
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6478631 ← → #6478673

Radix Representation

Decimal 6478636
Binary 11000101101101100101100 (23 bits)
Octal 0o30555454
Hexadecimal 0x62DB2C

Divisor Catalog (12)

1 2 4 107 214 428 15,137 30,274 60,548 1,619,659 3,239,318 6,478,636

Collatz Trajectory (209 steps to reach 1)

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

6,478,636 3,239,318 1,619,659 4,858,978 2,429,489 7,288,468 3,644,234 1,822,117 5,466,352 2,733,176 1,366,588 683,294 341,647 1,024,942 512,471 1,537,414 768,707 2,306,122 1,153,061 3,459,184 1,729,592 864,796 432,398 216,199 648,598 324,299 972,898 486,449 1,459,348 729,674 364,837 1,094,512 547,256 273,628 136,814 68,407 205,222 102,611 307,834 153,917 461,752 230,876 115,438 57,719 173,158 86,579 259,738 129,869 389,608 194,804 97,402 48,701 146,104 73,052 36,526 18,263 54,790 27,395 82,186 41,093

More profiles

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