λ
Harmonic Matrix

1,229,046

2 × 3 × 7 × 13 × 2251
Abundant Even Composite

1,229,046 has digital root 6. The neighboring primes are 1229023 and 1229071; its proper-divisor sum differs from the starting integer by 568,596.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 13 × 2251
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,026,688
Proper Divisor Sum 1,797,642
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1229023 ← → #1229071

Radix Representation

Decimal 1229046
Binary 100101100000011110110 (21 bits)
Octal 0o4540366
Hexadecimal 0x12C0F6

Divisor Catalog (32)

1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 2,251 4,502 6,753 13,506 15,757 29,263 31,514 47,271 58,526 87,789 94,542 175,578 204,841 409,682 614,523 1,229,046

Collatz Trajectory (142 steps to reach 1)

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

1,229,046 614,523 1,843,570 921,785 2,765,356 1,382,678 691,339 2,074,018 1,037,009 3,111,028 1,555,514 777,757 2,333,272 1,166,636 583,318 291,659 874,978 437,489 1,312,468 656,234 328,117 984,352 492,176 246,088 123,044 61,522 30,761 92,284 46,142 23,071 69,214 34,607 103,822 51,911 155,734 77,867 233,602 116,801 350,404 175,202 87,601 262,804 131,402 65,701 197,104 98,552 49,276 24,638 12,319 36,958 18,479 55,438 27,719 83,158 41,579 124,738 62,369 187,108 93,554 46,777

More profiles

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