λ
Harmonic Matrix

2,573,046

2 × 34 × 7 × 2269
Abundant Even Composite

2,573,046 has digital root 9. The neighboring primes are 2573023 and 2573047; its proper-divisor sum differs from the starting integer by 1,445,988.

Prime Factor Structure

Factorization String 2 × 3^4 × 7 × 2269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 6,592,080
Proper Divisor Sum 4,019,034
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2573023 ← → #2573047

Radix Representation

Decimal 2573046
Binary 1001110100001011110110 (22 bits)
Octal 0o11641366
Hexadecimal 0x2742F6

Divisor Catalog (40)

1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1,134 2,269 4,538 6,807 13,614 15,883 20,421 31,766 40,842 47,649 61,263 95,298 122,526 142,947 183,789 285,894 367,578 428,841 857,682 1,286,523 2,573,046

Collatz Trajectory (125 steps to reach 1)

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

2,573,046 1,286,523 3,859,570 1,929,785 5,789,356 2,894,678 1,447,339 4,342,018 2,171,009 6,513,028 3,256,514 1,628,257 4,884,772 2,442,386 1,221,193 3,663,580 1,831,790 915,895 2,747,686 1,373,843 4,121,530 2,060,765 6,182,296 3,091,148 1,545,574 772,787 2,318,362 1,159,181 3,477,544 1,738,772 869,386 434,693 1,304,080 652,040 326,020 163,010 81,505 244,516 122,258 61,129 183,388 91,694 45,847 137,542 68,771 206,314 103,157 309,472 154,736 77,368 38,684 19,342 9,671 29,014 14,507 43,522 21,761 65,284 32,642 16,321

More profiles

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