λ
Harmonic Matrix

8,876,409

3 × 2958803
Deficient Odd Composite

8,876,409 has digital root 6. The neighboring primes are 8876393 and 8876419; its proper-divisor sum differs from the starting integer by -5,917,602.

Prime Factor Structure

Factorization String 3 × 2958803
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,835,216
Proper Divisor Sum 2,958,807
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8876393 ← → #8876419

Radix Representation

Decimal 8876409
Binary 100001110111000101111001 (24 bits)
Octal 0o41670571
Hexadecimal 0x877179

Divisor Catalog (4)

1 3 2,958,803 8,876,409

Collatz Trajectory (168 steps to reach 1)

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

8,876,409 26,629,228 13,314,614 6,657,307 19,971,922 9,985,961 29,957,884 14,978,942 7,489,471 22,468,414 11,234,207 33,702,622 16,851,311 50,553,934 25,276,967 75,830,902 37,915,451 113,746,354 56,873,177 170,619,532 85,309,766 42,654,883 127,964,650 63,982,325 191,946,976 95,973,488 47,986,744 23,993,372 11,996,686 5,998,343 17,995,030 8,997,515 26,992,546 13,496,273 40,488,820 20,244,410 10,122,205 30,366,616 15,183,308 7,591,654 3,795,827 11,387,482 5,693,741 17,081,224 8,540,612 4,270,306 2,135,153 6,405,460 3,202,730 1,601,365 4,804,096 2,402,048 1,201,024 600,512 300,256 150,128 75,064 37,532 18,766 9,383

More profiles

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