λ
Harmonic Matrix

2,327,011

17 × 136883
Deficient Odd Composite

2,327,011 has digital root 7. The neighboring primes are 2326993 and 2327027; its proper-divisor sum differs from the starting integer by -2,190,110.

Prime Factor Structure

Factorization String 17 × 136883
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,463,912
Proper Divisor Sum 136,901
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #2326993 ← → #2327027

Radix Representation

Decimal 2327011
Binary 1000111000000111100011 (22 bits)
Octal 0o10700743
Hexadecimal 0x2381E3

Divisor Catalog (4)

1 17 136,883 2,327,011

Collatz Trajectory (192 steps to reach 1)

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

2,327,011 6,981,034 3,490,517 10,471,552 5,235,776 2,617,888 1,308,944 654,472 327,236 163,618 81,809 245,428 122,714 61,357 184,072 92,036 46,018 23,009 69,028 34,514 17,257 51,772 25,886 12,943 38,830 19,415 58,246 29,123 87,370 43,685 131,056 65,528 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

More profiles

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