λ
Harmonic Matrix

1,286,622

2 × 32 × 71479
Abundant Even Composite

1,286,622 has digital root 9. The neighboring primes are 1286617 and 1286629; its proper-divisor sum differs from the starting integer by 214,476.

Prime Factor Structure

Factorization String 2 × 3^2 × 71479
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,787,720
Proper Divisor Sum 1,501,098
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1286617 ← → #1286629

Radix Representation

Decimal 1286622
Binary 100111010000111011110 (21 bits)
Octal 0o4720736
Hexadecimal 0x13A1DE

Divisor Catalog (12)

1 2 3 6 9 18 71,479 142,958 214,437 428,874 643,311 1,286,622

Collatz Trajectory (124 steps to reach 1)

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

1,286,622 643,311 1,929,934 964,967 2,894,902 1,447,451 4,342,354 2,171,177 6,513,532 3,256,766 1,628,383 4,885,150 2,442,575 7,327,726 3,663,863 10,991,590 5,495,795 16,487,386 8,243,693 24,731,080 12,365,540 6,182,770 3,091,385 9,274,156 4,637,078 2,318,539 6,955,618 3,477,809 10,433,428 5,216,714 2,608,357 7,825,072 3,912,536 1,956,268 978,134 489,067 1,467,202 733,601 2,200,804 1,100,402 550,201 1,650,604 825,302 412,651 1,237,954 618,977 1,856,932 928,466 464,233 1,392,700 696,350 348,175 1,044,526 522,263 1,566,790 783,395 2,350,186 1,175,093 3,525,280 1,762,640

More profiles

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