λ
Harmonic Matrix

8,440,255

5 × 37 × 43 × 1061
Deficient Odd Composite

8,440,255 has digital root 1. The neighboring primes are 8440249 and 8440259; its proper-divisor sum differs from the starting integer by -6,226,526.

Prime Factor Structure

Factorization String 5 × 37 × 43 × 1061
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,653,984
Proper Divisor Sum 2,213,729
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8440249 ← → #8440259

Radix Representation

Decimal 8440255
Binary 100000001100100110111111 (24 bits)
Octal 0o40144677
Hexadecimal 0x80C9BF

Divisor Catalog (16)

1 5 37 43 185 215 1,061 1,591 5,305 7,955 39,257 45,623 196,285 228,115 1,688,051 8,440,255

Collatz Trajectory (274 steps to reach 1)

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

8,440,255 25,320,766 12,660,383 37,981,150 18,990,575 56,971,726 28,485,863 85,457,590 42,728,795 128,186,386 64,093,193 192,279,580 96,139,790 48,069,895 144,209,686 72,104,843 216,314,530 108,157,265 324,471,796 162,235,898 81,117,949 243,353,848 121,676,924 60,838,462 30,419,231 91,257,694 45,628,847 136,886,542 68,443,271 205,329,814 102,664,907 307,994,722 153,997,361 461,992,084 230,996,042 115,498,021 346,494,064 173,247,032 86,623,516 43,311,758 21,655,879 64,967,638 32,483,819 97,451,458 48,725,729 146,177,188 73,088,594 36,544,297 109,632,892 54,816,446 27,408,223 82,224,670 41,112,335 123,337,006 61,668,503 185,005,510 92,502,755 277,508,266 138,754,133 416,262,400

More profiles

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