λ
Harmonic Matrix

5,189,167

5189167
Deficient Odd Prime

5,189,167 has digital root 1. The neighboring primes are 5189161 and 5189201; its proper-divisor sum differs from the starting integer by -5,189,166.

Prime Factor Structure

Factorization String 5189167
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,189,168
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5189161 ← → #5189201

Radix Representation

Decimal 5189167
Binary 10011110010111000101111 (23 bits)
Octal 0o23627057
Hexadecimal 0x4F2E2F

Divisor Catalog (2)

Collatz Trajectory (188 steps to reach 1)

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

5,189,167 15,567,502 7,783,751 23,351,254 11,675,627 35,026,882 17,513,441 52,540,324 26,270,162 13,135,081 39,405,244 19,702,622 9,851,311 29,553,934 14,776,967 44,330,902 22,165,451 66,496,354 33,248,177 99,744,532 49,872,266 24,936,133 74,808,400 37,404,200 18,702,100 9,351,050 4,675,525 14,026,576 7,013,288 3,506,644 1,753,322 876,661 2,629,984 1,314,992 657,496 328,748 164,374 82,187 246,562 123,281 369,844 184,922 92,461 277,384 138,692 69,346 34,673 104,020 52,010 26,005 78,016 39,008 19,504 9,752 4,876 2,438 1,219 3,658 1,829 5,488

More profiles

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