λ
Harmonic Matrix

2,573,976

23 × 3 × 23 × 4663
Abundant Even Composite

2,573,976 has digital root 3. The neighboring primes are 2573957 and 2573983; its proper-divisor sum differs from the starting integer by 1,568,208.

Prime Factor Structure

Factorization String 2^3 × 3 × 23 × 4663
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,716,160
Proper Divisor Sum 4,142,184
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2573957 ← → #2573983

Radix Representation

Decimal 2573976
Binary 1001110100011010011000 (22 bits)
Octal 0o11643230
Hexadecimal 0x274698

Divisor Catalog (32)

1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 4,663 9,326 13,989 18,652 27,978 37,304 55,956 107,249 111,912 214,498 321,747 428,996 643,494 857,992 1,286,988 2,573,976

Collatz Trajectory (112 steps to reach 1)

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

2,573,976 1,286,988 643,494 321,747 965,242 482,621 1,447,864 723,932 361,966 180,983 542,950 271,475 814,426 407,213 1,221,640 610,820 305,410 152,705 458,116 229,058 114,529 343,588 171,794 85,897 257,692 128,846 64,423 193,270 96,635 289,906 144,953 434,860 217,430 108,715 326,146 163,073 489,220 244,610 122,305 366,916 183,458 91,729 275,188 137,594 68,797 206,392 103,196 51,598 25,799 77,398 38,699 116,098 58,049 174,148 87,074 43,537 130,612 65,306 32,653 97,960

More profiles

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