λ
Harmonic Matrix

849,446

2 × 13 × 37 × 883
Deficient Even Composite

849,446 has digital root 8. The neighboring primes are 849427 and 849461; its proper-divisor sum differs from the starting integer by -288,028.

Prime Factor Structure

Factorization String 2 × 13 × 37 × 883
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,410,864
Proper Divisor Sum 561,418
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #849427 ← → #849461

Radix Representation

Decimal 849446
Binary 11001111011000100110 (20 bits)
Octal 0o3173046
Hexadecimal 0xCF626

Divisor Catalog (16)

1 2 13 26 37 74 481 883 962 1,766 11,479 22,958 32,671 65,342 424,723 849,446

Collatz Trajectory (82 steps to reach 1)

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

849,446 424,723 1,274,170 637,085 1,911,256 955,628 477,814 238,907 716,722 358,361 1,075,084 537,542 268,771 806,314 403,157 1,209,472 604,736 302,368 151,184 75,592 37,796 18,898 9,449 28,348 14,174 7,087 21,262 10,631 31,894 15,947 47,842 23,921 71,764 35,882 17,941 53,824 26,912 13,456 6,728 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25

More profiles

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