λ
Harmonic Matrix

5,089,401

32 × 565489
Deficient Odd Composite

5,089,401 has digital root 9. The neighboring primes are 5089391 and 5089411; its proper-divisor sum differs from the starting integer by -2,827,432.

Prime Factor Structure

Factorization String 3^2 × 565489
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 7,351,370
Proper Divisor Sum 2,261,969
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5089391 ← → #5089411

Radix Representation

Decimal 5089401
Binary 10011011010100001111001 (23 bits)
Octal 0o23324171
Hexadecimal 0x4DA879

Divisor Catalog (6)

1 3 9 565,489 1,696,467 5,089,401

Collatz Trajectory (126 steps to reach 1)

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

5,089,401 15,268,204 7,634,102 3,817,051 11,451,154 5,725,577 17,176,732 8,588,366 4,294,183 12,882,550 6,441,275 19,323,826 9,661,913 28,985,740 14,492,870 7,246,435 21,739,306 10,869,653 32,608,960 16,304,480 8,152,240 4,076,120 2,038,060 1,019,030 509,515 1,528,546 764,273 2,292,820 1,146,410 573,205 1,719,616 859,808 429,904 214,952 107,476 53,738 26,869 80,608 40,304 20,152 10,076 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386

More profiles

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