λ
Harmonic Matrix

9,237,476

22 × 53 × 43573
Deficient Even Composite

9,237,476 has digital root 2. The neighboring primes are 9237469 and 9237479; its proper-divisor sum differs from the starting integer by -2,003,980.

Prime Factor Structure

Factorization String 2^2 × 53 × 43573
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 16,470,972
Proper Divisor Sum 7,233,496
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9237469 ← → #9237479

Radix Representation

Decimal 9237476
Binary 100011001111001111100100 (24 bits)
Octal 0o43171744
Hexadecimal 0x8CF3E4

Divisor Catalog (12)

1 2 4 53 106 212 43,573 87,146 174,292 2,309,369 4,618,738 9,237,476

Collatz Trajectory (75 steps to reach 1)

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

9,237,476 4,618,738 2,309,369 6,928,108 3,464,054 1,732,027 5,196,082 2,598,041 7,794,124 3,897,062 1,948,531 5,845,594 2,922,797 8,768,392 4,384,196 2,192,098 1,096,049 3,288,148 1,644,074 822,037 2,466,112 1,233,056 616,528 308,264 154,132 77,066 38,533 115,600 57,800 28,900 14,450 7,225 21,676 10,838 5,419 16,258 8,129 24,388 12,194 6,097 18,292 9,146 4,573 13,720 6,860 3,430 1,715 5,146 2,573 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544 272

More profiles

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