λ
Harmonic Matrix

7,638,229

7638229
Deficient Odd Prime

7,638,229 has digital root 1. The neighboring primes are 7638227 and 7638233; its proper-divisor sum differs from the starting integer by -7,638,228.

Prime Factor Structure

Factorization String 7638229
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,638,230
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7638227 ← → #7638233

Radix Representation

Decimal 7638229
Binary 11101001000110011010101 (23 bits)
Octal 0o35106325
Hexadecimal 0x748CD5

Divisor Catalog (2)

Collatz Trajectory (80 steps to reach 1)

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

7,638,229 22,914,688 11,457,344 5,728,672 2,864,336 1,432,168 716,084 358,042 179,021 537,064 268,532 134,266 67,133 201,400 100,700 50,350 25,175 75,526 37,763 113,290 56,645 169,936 84,968 42,484 21,242 10,621 31,864 15,932 7,966 3,983 11,950 5,975 17,926 8,963 26,890 13,445 40,336 20,168 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38

More profiles

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