λ
Harmonic Matrix

9,996,541

9996541
Deficient Odd Prime

9,996,541 has digital root 7. The neighboring primes are 9996523 and 9996557; its proper-divisor sum differs from the starting integer by -9,996,540.

Prime Factor Structure

Factorization String 9996541
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,996,542
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9996523 ← → #9996557

Radix Representation

Decimal 9996541
Binary 100110001000100011111101 (24 bits)
Octal 0o46104375
Hexadecimal 0x9888FD

Divisor Catalog (2)

Collatz Trajectory (132 steps to reach 1)

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

9,996,541 29,989,624 14,994,812 7,497,406 3,748,703 11,246,110 5,623,055 16,869,166 8,434,583 25,303,750 12,651,875 37,955,626 18,977,813 56,933,440 28,466,720 14,233,360 7,116,680 3,558,340 1,779,170 889,585 2,668,756 1,334,378 667,189 2,001,568 1,000,784 500,392 250,196 125,098 62,549 187,648 93,824 46,912 23,456 11,728 5,864 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780

More profiles

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