λ
Harmonic Matrix

9,941,464

23 × 13 × 17 × 5623
Abundant Even Composite

9,941,464 has digital root 1. The neighboring primes are 9941431 and 9941467; its proper-divisor sum differs from the starting integer by 1,375,792.

Prime Factor Structure

Factorization String 2^3 × 13 × 17 × 5623
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,258,720
Proper Divisor Sum 11,317,256
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9941431 ← → #9941467

Radix Representation

Decimal 9941464
Binary 100101111011000111011000 (24 bits)
Octal 0o45730730
Hexadecimal 0x97B1D8

Divisor Catalog (32)

1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1,768 5,623 11,246 22,492 44,984 73,099 95,591 146,198 191,182 292,396 382,364 584,792 764,728 1,242,683 2,485,366 4,970,732 9,941,464

Collatz Trajectory (238 steps to reach 1)

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

9,941,464 4,970,732 2,485,366 1,242,683 3,728,050 1,864,025 5,592,076 2,796,038 1,398,019 4,194,058 2,097,029 6,291,088 3,145,544 1,572,772 786,386 393,193 1,179,580 589,790 294,895 884,686 442,343 1,327,030 663,515 1,990,546 995,273 2,985,820 1,492,910 746,455 2,239,366 1,119,683 3,359,050 1,679,525 5,038,576 2,519,288 1,259,644 629,822 314,911 944,734 472,367 1,417,102 708,551 2,125,654 1,062,827 3,188,482 1,594,241 4,782,724 2,391,362 1,195,681 3,587,044 1,793,522 896,761 2,690,284 1,345,142 672,571 2,017,714 1,008,857 3,026,572 1,513,286 756,643 2,269,930

More profiles

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