λ
Harmonic Matrix

4,237,865

5 × 23 × 43 × 857
Deficient Odd Composite

4,237,865 has digital root 8. The neighboring primes are 4237861 and 4237867; its proper-divisor sum differs from the starting integer by -3,039,442.

Prime Factor Structure

Factorization String 5 × 23 × 43 × 857
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,436,288
Proper Divisor Sum 1,198,423
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4237861 ← → #4237867

Radix Representation

Decimal 4237865
Binary 10000001010101000101001 (23 bits)
Octal 0o20125051
Hexadecimal 0x40AA29

Divisor Catalog (16)

1 5 23 43 115 215 857 989 4,285 4,945 19,711 36,851 98,555 184,255 847,573 4,237,865

Collatz Trajectory (105 steps to reach 1)

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

4,237,865 12,713,596 6,356,798 3,178,399 9,535,198 4,767,599 14,302,798 7,151,399 21,454,198 10,727,099 32,181,298 16,090,649 48,271,948 24,135,974 12,067,987 36,203,962 18,101,981 54,305,944 27,152,972 13,576,486 6,788,243 20,364,730 10,182,365 30,547,096 15,273,548 7,636,774 3,818,387 11,455,162 5,727,581 17,182,744 8,591,372 4,295,686 2,147,843 6,443,530 3,221,765 9,665,296 4,832,648 2,416,324 1,208,162 604,081 1,812,244 906,122 453,061 1,359,184 679,592 339,796 169,898 84,949 254,848 127,424 63,712 31,856 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481

More profiles

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