λ
Harmonic Matrix

9,270,864

24 × 32 × 64381
Abundant Even Composite

9,270,864 has digital root 9. The neighboring primes are 9270853 and 9270881; its proper-divisor sum differs from the starting integer by 7,404,218.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 64381
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 25,945,946
Proper Divisor Sum 16,675,082
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9270853 ← → #9270881

Radix Representation

Decimal 9270864
Binary 100011010111011001010000 (24 bits)
Octal 0o43273120
Hexadecimal 0x8D7650

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 64,381 128,762 193,143 257,524 386,286 515,048 579,429 772,572 1,030,096 1,158,858 1,545,144 2,317,716 3,090,288 4,635,432 9,270,864

Collatz Trajectory (49 steps to reach 1)

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

9,270,864 4,635,432 2,317,716 1,158,858 579,429 1,738,288 869,144 434,572 217,286 108,643 325,930 162,965 488,896 244,448 122,224 61,112 30,556 15,278 7,639 22,918 11,459 34,378 17,189 51,568 25,784 12,892 6,446 3,223 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720 1,360 680 340 170 85 256 128 64 32 16 8 4 2 1

More profiles

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