λ
Harmonic Matrix

2,375,847

32 × 263983
Deficient Odd Composite

2,375,847 has digital root 9. The neighboring primes are 2375843 and 2375917; its proper-divisor sum differs from the starting integer by -1,319,902.

Prime Factor Structure

Factorization String 3^2 × 263983
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 3,431,792
Proper Divisor Sum 1,055,945
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2375843 ← → #2375917

Radix Representation

Decimal 2375847
Binary 1001000100000010100111 (22 bits)
Octal 0o11040247
Hexadecimal 0x2440A7

Divisor Catalog (6)

1 3 9 263,983 791,949 2,375,847

Collatz Trajectory (404 steps to reach 1)

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

2,375,847 7,127,542 3,563,771 10,691,314 5,345,657 16,036,972 8,018,486 4,009,243 12,027,730 6,013,865 18,041,596 9,020,798 4,510,399 13,531,198 6,765,599 20,296,798 10,148,399 30,445,198 15,222,599 45,667,798 22,833,899 68,501,698 34,250,849 102,752,548 51,376,274 25,688,137 77,064,412 38,532,206 19,266,103 57,798,310 28,899,155 86,697,466 43,348,733 130,046,200 65,023,100 32,511,550 16,255,775 48,767,326 24,383,663 73,150,990 36,575,495 109,726,486 54,863,243 164,589,730 82,294,865 246,884,596 123,442,298 61,721,149 185,163,448 92,581,724 46,290,862 23,145,431 69,436,294 34,718,147 104,154,442 52,077,221 156,231,664 78,115,832 39,057,916 19,528,958

More profiles

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