λ
Harmonic Matrix

2,694,888

23 × 32 × 7 × 5347
Abundant Even Composite

2,694,888 has digital root 9. The neighboring primes are 2694877 and 2694893; its proper-divisor sum differs from the starting integer by 2,953,104.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 5347
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,342,880
Proper Divisor Sum 5,647,992
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #2694877 ← → #2694893

Radix Representation

Decimal 2694888
Binary 1010010001111011101000 (22 bits)
Octal 0o12217350
Hexadecimal 0x291EE8

Divisor Catalog (48)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 5,347 10,694 16,041 21,388 32,082 37,429 42,776 48,123 64,164 74,858 96,246 112,287 128,328 149,716 192,492 224,574 299,432 336,861 384,984 449,148 673,722 898,296 1,347,444 2,694,888

Collatz Trajectory (112 steps to reach 1)

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

2,694,888 1,347,444 673,722 336,861 1,010,584 505,292 252,646 126,323 378,970 189,485 568,456 284,228 142,114 71,057 213,172 106,586 53,293 159,880 79,940 39,970 19,985 59,956 29,978 14,989 44,968 22,484 11,242 5,621 16,864 8,432 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479

More profiles

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