λ
Harmonic Matrix

9,292,288

29 × 18149
Deficient Even Composite

9,292,288 has digital root 4. The neighboring primes are 9292279 and 9292321; its proper-divisor sum differs from the starting integer by -17,126.

Prime Factor Structure

Factorization String 2^9 × 18149
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 18,567,450
Proper Divisor Sum 9,275,162
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9292279 ← → #9292321

Radix Representation

Decimal 9292288
Binary 100011011100101000000000 (24 bits)
Octal 0o43345000
Hexadecimal 0x8DCA00

Divisor Catalog (20)

1 2 4 8 16 32 64 128 256 512 18,149 36,298 72,596 145,192 290,384 580,768 1,161,536 2,323,072 4,646,144 9,292,288

Collatz Trajectory (75 steps to reach 1)

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

9,292,288 4,646,144 2,323,072 1,161,536 580,768 290,384 145,192 72,596 36,298 18,149 54,448 27,224 13,612 6,806 3,403 10,210 5,105 15,316 7,658 3,829 11,488 5,744 2,872 1,436 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46

More profiles

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