λ
Harmonic Matrix

6,036,509

19 × 317711
Deficient Odd Composite

6,036,509 has digital root 2. The neighboring primes are 6036497 and 6036551; its proper-divisor sum differs from the starting integer by -5,718,778.

Prime Factor Structure

Factorization String 19 × 317711
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,354,240
Proper Divisor Sum 317,731
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6036497 ← → #6036551

Radix Representation

Decimal 6036509
Binary 10111000001110000011101 (23 bits)
Octal 0o27016035
Hexadecimal 0x5C1C1D

Divisor Catalog (4)

1 19 317,711 6,036,509

Collatz Trajectory (134 steps to reach 1)

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

6,036,509 18,109,528 9,054,764 4,527,382 2,263,691 6,791,074 3,395,537 10,186,612 5,093,306 2,546,653 7,639,960 3,819,980 1,909,990 954,995 2,864,986 1,432,493 4,297,480 2,148,740 1,074,370 537,185 1,611,556 805,778 402,889 1,208,668 604,334 302,167 906,502 453,251 1,359,754 679,877 2,039,632 1,019,816 509,908 254,954 127,477 382,432 191,216 95,608 47,804 23,902 11,951 35,854 17,927 53,782 26,891 80,674 40,337 121,012 60,506 30,253 90,760 45,380 22,690 11,345 34,036 17,018 8,509 25,528 12,764 6,382

More profiles

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