λ
Harmonic Matrix

4,177,793

4177793
Deficient Odd Prime

4,177,793 has digital root 2. The neighboring primes are 4177787 and 4177799; its proper-divisor sum differs from the starting integer by -4,177,792.

Prime Factor Structure

Factorization String 4177793
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,177,794
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #4177787 ← → #4177799

Radix Representation

Decimal 4177793
Binary 1111111011111110000001 (22 bits)
Octal 0o17737601
Hexadecimal 0x3FBF81

Divisor Catalog (2)

Collatz Trajectory (136 steps to reach 1)

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

4,177,793 12,533,380 6,266,690 3,133,345 9,400,036 4,700,018 2,350,009 7,050,028 3,525,014 1,762,507 5,287,522 2,643,761 7,931,284 3,965,642 1,982,821 5,948,464 2,974,232 1,487,116 743,558 371,779 1,115,338 557,669 1,673,008 836,504 418,252 209,126 104,563 313,690 156,845 470,536 235,268 117,634 58,817 176,452 88,226 44,113 132,340 66,170 33,085 99,256 49,628 24,814 12,407 37,222 18,611 55,834 27,917 83,752 41,876 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418

More profiles

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