λ
Harmonic Matrix

4,054,382

2 × 613 × 3307
Deficient Even Composite

4,054,382 has digital root 8. The neighboring primes are 4054331 and 4054387; its proper-divisor sum differs from the starting integer by -2,015,428.

Prime Factor Structure

Factorization String 2 × 613 × 3307
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,093,336
Proper Divisor Sum 2,038,954
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4054331 ← → #4054387

Radix Representation

Decimal 4054382
Binary 1111011101110101101110 (22 bits)
Octal 0o17356556
Hexadecimal 0x3DDD6E

Divisor Catalog (8)

1 2 613 1,226 3,307 6,614 2,027,191 4,054,382

Collatz Trajectory (229 steps to reach 1)

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

4,054,382 2,027,191 6,081,574 3,040,787 9,122,362 4,561,181 13,683,544 6,841,772 3,420,886 1,710,443 5,131,330 2,565,665 7,696,996 3,848,498 1,924,249 5,772,748 2,886,374 1,443,187 4,329,562 2,164,781 6,494,344 3,247,172 1,623,586 811,793 2,435,380 1,217,690 608,845 1,826,536 913,268 456,634 228,317 684,952 342,476 171,238 85,619 256,858 128,429 385,288 192,644 96,322 48,161 144,484 72,242 36,121 108,364 54,182 27,091 81,274 40,637 121,912 60,956 30,478 15,239 45,718 22,859 68,578 34,289 102,868 51,434 25,717

More profiles

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