λ
Harmonic Matrix

2,146,038

2 × 3 × 23 × 15551
Abundant Even Composite

2,146,038 has digital root 6. The neighboring primes are 2146009 and 2146043; its proper-divisor sum differs from the starting integer by 186,900.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 15551
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,478,976
Proper Divisor Sum 2,332,938
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2146009 ← → #2146043

Radix Representation

Decimal 2146038
Binary 1000001011111011110110 (22 bits)
Octal 0o10137366
Hexadecimal 0x20BEF6

Divisor Catalog (16)

1 2 3 6 23 46 69 138 15,551 31,102 46,653 93,306 357,673 715,346 1,073,019 2,146,038

Collatz Trajectory (241 steps to reach 1)

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

2,146,038 1,073,019 3,219,058 1,609,529 4,828,588 2,414,294 1,207,147 3,621,442 1,810,721 5,432,164 2,716,082 1,358,041 4,074,124 2,037,062 1,018,531 3,055,594 1,527,797 4,583,392 2,291,696 1,145,848 572,924 286,462 143,231 429,694 214,847 644,542 322,271 966,814 483,407 1,450,222 725,111 2,175,334 1,087,667 3,263,002 1,631,501 4,894,504 2,447,252 1,223,626 611,813 1,835,440 917,720 458,860 229,430 114,715 344,146 172,073 516,220 258,110 129,055 387,166 193,583 580,750 290,375 871,126 435,563 1,306,690 653,345 1,960,036 980,018 490,009

More profiles

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