λ
Harmonic Matrix

6,109,277

6109277
Deficient Odd Prime

6,109,277 has digital root 5. The neighboring primes are 6109253 and 6109289; its proper-divisor sum differs from the starting integer by -6,109,276.

Prime Factor Structure

Factorization String 6109277
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,109,278
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6109253 ← → #6109289

Radix Representation

Decimal 6109277
Binary 10111010011100001011101 (23 bits)
Octal 0o27234135
Hexadecimal 0x5D385D

Divisor Catalog (2)

Collatz Trajectory (227 steps to reach 1)

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

6,109,277 18,327,832 9,163,916 4,581,958 2,290,979 6,872,938 3,436,469 10,309,408 5,154,704 2,577,352 1,288,676 644,338 322,169 966,508 483,254 241,627 724,882 362,441 1,087,324 543,662 271,831 815,494 407,747 1,223,242 611,621 1,834,864 917,432 458,716 229,358 114,679 344,038 172,019 516,058 258,029 774,088 387,044 193,522 96,761 290,284 145,142 72,571 217,714 108,857 326,572 163,286 81,643 244,930 122,465 367,396 183,698 91,849 275,548 137,774 68,887 206,662 103,331 309,994 154,997 464,992 232,496

More profiles

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