λ
Harmonic Matrix

8,796,040

23 × 5 × 11 × 19991
Abundant Even Composite

8,796,040 has digital root 7. The neighboring primes are 8796001 and 8796049; its proper-divisor sum differs from the starting integer by 3,999,280.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 19991
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,591,360
Proper Divisor Sum 12,795,320
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8796001 ← → #8796049

Radix Representation

Decimal 8796040
Binary 100001100011011110001000 (24 bits)
Octal 0o41433610
Hexadecimal 0x863788

Divisor Catalog (32)

1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 19,991 39,982 79,964 99,955 159,928 199,910 219,901 399,820 439,802 799,640 879,604 1,099,505 1,759,208 2,199,010 4,398,020 8,796,040

Collatz Trajectory (199 steps to reach 1)

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

8,796,040 4,398,020 2,199,010 1,099,505 3,298,516 1,649,258 824,629 2,473,888 1,236,944 618,472 309,236 154,618 77,309 231,928 115,964 57,982 28,991 86,974 43,487 130,462 65,231 195,694 97,847 293,542 146,771 440,314 220,157 660,472 330,236 165,118 82,559 247,678 123,839 371,518 185,759 557,278 278,639 835,918 417,959 1,253,878 626,939 1,880,818 940,409 2,821,228 1,410,614 705,307 2,115,922 1,057,961 3,173,884 1,586,942 793,471 2,380,414 1,190,207 3,570,622 1,785,311 5,355,934 2,677,967 8,033,902 4,016,951 12,050,854

More profiles

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