λ
Harmonic Matrix

7,199,309

13 × 19 × 29147
Deficient Odd Composite

7,199,309 has digital root 2. The neighboring primes are 7199267 and 7199323; its proper-divisor sum differs from the starting integer by -6,237,178.

Prime Factor Structure

Factorization String 13 × 19 × 29147
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,161,440
Proper Divisor Sum 962,131
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7199267 ← → #7199323

Radix Representation

Decimal 7199309
Binary 11011011101101001001101 (23 bits)
Octal 0o33355115
Hexadecimal 0x6DDA4D

Divisor Catalog (8)

1 13 19 247 29,147 378,911 553,793 7,199,309

Collatz Trajectory (129 steps to reach 1)

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

7,199,309 21,597,928 10,798,964 5,399,482 2,699,741 8,099,224 4,049,612 2,024,806 1,012,403 3,037,210 1,518,605 4,555,816 2,277,908 1,138,954 569,477 1,708,432 854,216 427,108 213,554 106,777 320,332 160,166 80,083 240,250 120,125 360,376 180,188 90,094 45,047 135,142 67,571 202,714 101,357 304,072 152,036 76,018 38,009 114,028 57,014 28,507 85,522 42,761 128,284 64,142 32,071 96,214 48,107 144,322 72,161 216,484 108,242 54,121 162,364 81,182 40,591 121,774 60,887 182,662 91,331 273,994

More profiles

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