λ
Harmonic Matrix

2,375,805

3 × 5 × 149 × 1063
Deficient Odd Composite

2,375,805 has digital root 3. The neighboring primes are 2375797 and 2375819; its proper-divisor sum differs from the starting integer by -921,210.

Prime Factor Structure

Factorization String 3 × 5 × 149 × 1063
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,830,400
Proper Divisor Sum 1,454,595
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2375797 ← → #2375819

Radix Representation

Decimal 2375805
Binary 1001000100000001111101 (22 bits)
Octal 0o11040175
Hexadecimal 0x24407D

Divisor Catalog (16)

1 3 5 15 149 447 745 1,063 2,235 3,189 5,315 15,945 158,387 475,161 791,935 2,375,805

Collatz Trajectory (148 steps to reach 1)

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

2,375,805 7,127,416 3,563,708 1,781,854 890,927 2,672,782 1,336,391 4,009,174 2,004,587 6,013,762 3,006,881 9,020,644 4,510,322 2,255,161 6,765,484 3,382,742 1,691,371 5,074,114 2,537,057 7,611,172 3,805,586 1,902,793 5,708,380 2,854,190 1,427,095 4,281,286 2,140,643 6,421,930 3,210,965 9,632,896 4,816,448 2,408,224 1,204,112 602,056 301,028 150,514 75,257 225,772 112,886 56,443 169,330 84,665 253,996 126,998 63,499 190,498 95,249 285,748 142,874 71,437 214,312 107,156 53,578 26,789 80,368 40,184 20,092 10,046 5,023 15,070

More profiles

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