λ
Harmonic Matrix

4,238,065

5 × 13 × 113 × 577
Deficient Odd Composite

4,238,065 has digital root 1. The neighboring primes are 4238057 and 4238071; its proper-divisor sum differs from the starting integer by -2,941,202.

Prime Factor Structure

Factorization String 5 × 13 × 113 × 577
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,534,928
Proper Divisor Sum 1,296,863
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4238057 ← → #4238071

Radix Representation

Decimal 4238065
Binary 10000001010101011110001 (23 bits)
Octal 0o20125361
Hexadecimal 0x40AAF1

Divisor Catalog (16)

1 5 13 65 113 565 577 1,469 2,885 7,345 7,501 37,505 65,201 326,005 847,613 4,238,065

Collatz Trajectory (123 steps to reach 1)

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

4,238,065 12,714,196 6,357,098 3,178,549 9,535,648 4,767,824 2,383,912 1,191,956 595,978 297,989 893,968 446,984 223,492 111,746 55,873 167,620 83,810 41,905 125,716 62,858 31,429 94,288 47,144 23,572 11,786 5,893 17,680 8,840 4,420 2,210 1,105 3,316 1,658 829 2,488 1,244 622 311 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754

More profiles

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