λ
Harmonic Matrix

8,445,121

89 × 94889
Deficient Odd Composite

8,445,121 has digital root 7. The neighboring primes are 8445109 and 8445137; its proper-divisor sum differs from the starting integer by -8,350,142.

Prime Factor Structure

Factorization String 89 × 94889
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,540,100
Proper Divisor Sum 94,979
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8445109 ← → #8445137

Radix Representation

Decimal 8445121
Binary 100000001101110011000001 (24 bits)
Octal 0o40156301
Hexadecimal 0x80DCC1

Divisor Catalog (4)

1 89 94,889 8,445,121

Collatz Trajectory (181 steps to reach 1)

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

8,445,121 25,335,364 12,667,682 6,333,841 19,001,524 9,500,762 4,750,381 14,251,144 7,125,572 3,562,786 1,781,393 5,344,180 2,672,090 1,336,045 4,008,136 2,004,068 1,002,034 501,017 1,503,052 751,526 375,763 1,127,290 563,645 1,690,936 845,468 422,734 211,367 634,102 317,051 951,154 475,577 1,426,732 713,366 356,683 1,070,050 535,025 1,605,076 802,538 401,269 1,203,808 601,904 300,952 150,476 75,238 37,619 112,858 56,429 169,288 84,644 42,322 21,161 63,484 31,742 15,871 47,614 23,807 71,422 35,711 107,134 53,567

More profiles

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