λ
Harmonic Matrix

8,794,264

23 × 19 × 47 × 1231
Abundant Even Composite

8,794,264 has digital root 4. The neighboring primes are 8794259 and 8794267; its proper-divisor sum differs from the starting integer by 152,272.

Prime Factor Structure

Factorization String 2^3 × 19 × 47 × 1231
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,740,800
Proper Divisor Sum 8,946,536
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8794259 ← → #8794267

Radix Representation

Decimal 8794264
Binary 100001100011000010011000 (24 bits)
Octal 0o41430230
Hexadecimal 0x863098

Divisor Catalog (32)

1 2 4 8 19 38 47 76 94 152 188 376 893 1,231 1,786 2,462 3,572 4,924 7,144 9,848 23,389 46,778 57,857 93,556 115,714 187,112 231,428 462,856 1,099,283 2,198,566 4,397,132 8,794,264

Collatz Trajectory (212 steps to reach 1)

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

8,794,264 4,397,132 2,198,566 1,099,283 3,297,850 1,648,925 4,946,776 2,473,388 1,236,694 618,347 1,855,042 927,521 2,782,564 1,391,282 695,641 2,086,924 1,043,462 521,731 1,565,194 782,597 2,347,792 1,173,896 586,948 293,474 146,737 440,212 220,106 110,053 330,160 165,080 82,540 41,270 20,635 61,906 30,953 92,860 46,430 23,215 69,646 34,823 104,470 52,235 156,706 78,353 235,060 117,530 58,765 176,296 88,148 44,074 22,037 66,112 33,056 16,528 8,264 4,132 2,066 1,033 3,100 1,550

More profiles

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