λ
Harmonic Matrix

4,038,392

23 × 504799
Deficient Even Composite

4,038,392 has digital root 2. The neighboring primes are 4038379 and 4038403; its proper-divisor sum differs from the starting integer by -504,784.

Prime Factor Structure

Factorization String 2^3 × 504799
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,572,000
Proper Divisor Sum 3,533,608
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4038379 ← → #4038403

Radix Representation

Decimal 4038392
Binary 1111011001111011111000 (22 bits)
Octal 0o17317370
Hexadecimal 0x3D9EF8

Divisor Catalog (8)

1 2 4 8 504,799 1,009,598 2,019,196 4,038,392

Collatz Trajectory (92 steps to reach 1)

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

4,038,392 2,019,196 1,009,598 504,799 1,514,398 757,199 2,271,598 1,135,799 3,407,398 1,703,699 5,111,098 2,555,549 7,666,648 3,833,324 1,916,662 958,331 2,874,994 1,437,497 4,312,492 2,156,246 1,078,123 3,234,370 1,617,185 4,851,556 2,425,778 1,212,889 3,638,668 1,819,334 909,667 2,729,002 1,364,501 4,093,504 2,046,752 1,023,376 511,688 255,844 127,922 63,961 191,884 95,942 47,971 143,914 71,957 215,872 107,936 53,968 26,984 13,492 6,746 3,373 10,120 5,060 2,530 1,265 3,796 1,898 949 2,848 1,424 712

More profiles

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