λ
Harmonic Matrix

490,851

32 × 54539
Deficient Odd Composite

490,851 has digital root 9. The neighboring primes are 490849 and 490859; its proper-divisor sum differs from the starting integer by -272,682.

Prime Factor Structure

Factorization String 3^2 × 54539
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 709,020
Proper Divisor Sum 218,169
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #490849 ← → #490859

Radix Representation

Decimal 490851
Binary 1110111110101100011 (19 bits)
Octal 0o1676543
Hexadecimal 0x77D63

Divisor Catalog (6)

1 3 9 54,539 163,617 490,851

Collatz Trajectory (182 steps to reach 1)

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

490,851 1,472,554 736,277 2,208,832 1,104,416 552,208 276,104 138,052 69,026 34,513 103,540 51,770 25,885 77,656 38,828 19,414 9,707 29,122 14,561 43,684 21,842 10,921 32,764 16,382 8,191 24,574 12,287 36,862 18,431 55,294 27,647 82,942 41,471 124,414 62,207 186,622 93,311 279,934 139,967 419,902 209,951 629,854 314,927 944,782 472,391 1,417,174 708,587 2,125,762 1,062,881 3,188,644 1,594,322 797,161 2,391,484 1,195,742 597,871 1,793,614 896,807 2,690,422 1,345,211 4,035,634

More profiles

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