λ
Harmonic Matrix

9,440,658

2 × 33 × 79 × 2213
Abundant Even Composite

9,440,658 has digital root 9. The neighboring primes are 9440653 and 9440681; its proper-divisor sum differs from the starting integer by 2,373,084.

Prime Factor Structure

Factorization String 2 × 3^3 × 79 × 2213
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,254,400
Proper Divisor Sum 11,813,742
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9440653 ← → #9440681

Radix Representation

Decimal 9440658
Binary 100100000000110110010010 (24 bits)
Octal 0o44006622
Hexadecimal 0x900D92

Divisor Catalog (32)

1 2 3 6 9 18 27 54 79 158 237 474 711 1,422 2,133 2,213 4,266 4,426 6,639 13,278 19,917 39,834 59,751 119,502 174,827 349,654 524,481 1,048,962 1,573,443 3,146,886 4,720,329 9,440,658

Collatz Trajectory (132 steps to reach 1)

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

9,440,658 4,720,329 14,160,988 7,080,494 3,540,247 10,620,742 5,310,371 15,931,114 7,965,557 23,896,672 11,948,336 5,974,168 2,987,084 1,493,542 746,771 2,240,314 1,120,157 3,360,472 1,680,236 840,118 420,059 1,260,178 630,089 1,890,268 945,134 472,567 1,417,702 708,851 2,126,554 1,063,277 3,189,832 1,594,916 797,458 398,729 1,196,188 598,094 299,047 897,142 448,571 1,345,714 672,857 2,018,572 1,009,286 504,643 1,513,930 756,965 2,270,896 1,135,448 567,724 283,862 141,931 425,794 212,897 638,692 319,346 159,673 479,020 239,510 119,755 359,266

More profiles

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