λ
Harmonic Matrix

4,388,423

132 × 23 × 1129
Deficient Odd Composite

4,388,423 has digital root 5. The neighboring primes are 4388413 and 4388429; its proper-divisor sum differs from the starting integer by -3,813,886.

Prime Factor Structure

Factorization String 13^2 × 23 × 1129
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,962,960
Proper Divisor Sum 574,537
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4388413 ← → #4388429

Radix Representation

Decimal 4388423
Binary 10000101111011001000111 (23 bits)
Octal 0o20573107
Hexadecimal 0x42F647

Divisor Catalog (12)

1 13 23 169 299 1,129 3,887 14,677 25,967 190,801 337,571 4,388,423

Collatz Trajectory (92 steps to reach 1)

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

4,388,423 13,165,270 6,582,635 19,747,906 9,873,953 29,621,860 14,810,930 7,405,465 22,216,396 11,108,198 5,554,099 16,662,298 8,331,149 24,993,448 12,496,724 6,248,362 3,124,181 9,372,544 4,686,272 2,343,136 1,171,568 585,784 292,892 146,446 73,223 219,670 109,835 329,506 164,753 494,260 247,130 123,565 370,696 185,348 92,674 46,337 139,012 69,506 34,753 104,260 52,130 26,065 78,196 39,098 19,549 58,648 29,324 14,662 7,331 21,994 10,997 32,992 16,496 8,248 4,124 2,062 1,031 3,094 1,547 4,642

More profiles

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