λ
Harmonic Matrix

6,771,917

6771917
Deficient Odd Prime

6,771,917 has digital root 2. The neighboring primes are 6771911 and 6771937; its proper-divisor sum differs from the starting integer by -6,771,916.

Prime Factor Structure

Factorization String 6771917
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,771,918
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6771911 ← → #6771937

Radix Representation

Decimal 6771917
Binary 11001110101010011001101 (23 bits)
Octal 0o31652315
Hexadecimal 0x6754CD

Divisor Catalog (2)

Collatz Trajectory (134 steps to reach 1)

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

6,771,917 20,315,752 10,157,876 5,078,938 2,539,469 7,618,408 3,809,204 1,904,602 952,301 2,856,904 1,428,452 714,226 357,113 1,071,340 535,670 267,835 803,506 401,753 1,205,260 602,630 301,315 903,946 451,973 1,355,920 677,960 338,980 169,490 84,745 254,236 127,118 63,559 190,678 95,339 286,018 143,009 429,028 214,514 107,257 321,772 160,886 80,443 241,330 120,665 361,996 180,998 90,499 271,498 135,749 407,248 203,624 101,812 50,906 25,453 76,360 38,180 19,090 9,545 28,636 14,318 7,159

More profiles

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