λ
Harmonic Matrix

4,026,382

2 × 17 × 118423
Deficient Even Composite

4,026,382 has digital root 7. The neighboring primes are 4026371 and 4026383; its proper-divisor sum differs from the starting integer by -1,657,868.

Prime Factor Structure

Factorization String 2 × 17 × 118423
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,394,896
Proper Divisor Sum 2,368,514
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4026371 ← → #4026383

Radix Representation

Decimal 4026382
Binary 1111010111000000001110 (22 bits)
Octal 0o17270016
Hexadecimal 0x3D700E

Divisor Catalog (8)

1 2 17 34 118,423 236,846 2,013,191 4,026,382

Collatz Trajectory (185 steps to reach 1)

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

4,026,382 2,013,191 6,039,574 3,019,787 9,059,362 4,529,681 13,589,044 6,794,522 3,397,261 10,191,784 5,095,892 2,547,946 1,273,973 3,821,920 1,910,960 955,480 477,740 238,870 119,435 358,306 179,153 537,460 268,730 134,365 403,096 201,548 100,774 50,387 151,162 75,581 226,744 113,372 56,686 28,343 85,030 42,515 127,546 63,773 191,320 95,660 47,830 23,915 71,746 35,873 107,620 53,810 26,905 80,716 40,358 20,179 60,538 30,269 90,808 45,404 22,702 11,351 34,054 17,027 51,082 25,541

More profiles

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