λ
Harmonic Matrix

5,387,329

5387329
Deficient Odd Prime

5,387,329 has digital root 1. The neighboring primes are 5387321 and 5387339; its proper-divisor sum differs from the starting integer by -5,387,328.

Prime Factor Structure

Factorization String 5387329
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,387,330
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5387321 ← → #5387339

Radix Representation

Decimal 5387329
Binary 10100100011010001000001 (23 bits)
Octal 0o24432101
Hexadecimal 0x523441

Divisor Catalog (2)

1 5,387,329

Collatz Trajectory (188 steps to reach 1)

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

5,387,329 16,161,988 8,080,994 4,040,497 12,121,492 6,060,746 3,030,373 9,091,120 4,545,560 2,272,780 1,136,390 568,195 1,704,586 852,293 2,556,880 1,278,440 639,220 319,610 159,805 479,416 239,708 119,854 59,927 179,782 89,891 269,674 134,837 404,512 202,256 101,128 50,564 25,282 12,641 37,924 18,962 9,481 28,444 14,222 7,111 21,334 10,667 32,002 16,001 48,004 24,002 12,001 36,004 18,002 9,001 27,004 13,502 6,751 20,254 10,127 30,382 15,191 45,574 22,787 68,362 34,181

More profiles

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