λ
Harmonic Matrix

8,749,565

5 × 11 × 257 × 619
Deficient Odd Composite

8,749,565 has digital root 8. The neighboring primes are 8749549 and 8749571; its proper-divisor sum differs from the starting integer by -5,982,010.

Prime Factor Structure

Factorization String 5 × 11 × 257 × 619
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,517,120
Proper Divisor Sum 2,767,555
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #8749549 ← → #8749571

Radix Representation

Decimal 8749565
Binary 100001011000000111111101 (24 bits)
Octal 0o41300775
Hexadecimal 0x8581FD

Divisor Catalog (16)

1 5 11 55 257 619 1,285 2,827 3,095 6,809 14,135 34,045 159,083 795,415 1,749,913 8,749,565

Collatz Trajectory (173 steps to reach 1)

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

8,749,565 26,248,696 13,124,348 6,562,174 3,281,087 9,843,262 4,921,631 14,764,894 7,382,447 22,147,342 11,073,671 33,221,014 16,610,507 49,831,522 24,915,761 74,747,284 37,373,642 18,686,821 56,060,464 28,030,232 14,015,116 7,007,558 3,503,779 10,511,338 5,255,669 15,767,008 7,883,504 3,941,752 1,970,876 985,438 492,719 1,478,158 739,079 2,217,238 1,108,619 3,325,858 1,662,929 4,988,788 2,494,394 1,247,197 3,741,592 1,870,796 935,398 467,699 1,403,098 701,549 2,104,648 1,052,324 526,162 263,081 789,244 394,622 197,311 591,934 295,967 887,902 443,951 1,331,854 665,927 1,997,782

More profiles

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