λ
Harmonic Matrix

8,748,867

3 × 41 × 71129
Deficient Odd Composite

8,748,867 has digital root 3. The neighboring primes are 8748853 and 8748877; its proper-divisor sum differs from the starting integer by -5,547,894.

Prime Factor Structure

Factorization String 3 × 41 × 71129
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,949,840
Proper Divisor Sum 3,200,973
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #8748853 ← → #8748877

Radix Representation

Decimal 8748867
Binary 100001010111111101000011 (24 bits)
Octal 0o41277503
Hexadecimal 0x857F43

Divisor Catalog (8)

1 3 41 123 71,129 213,387 2,916,289 8,748,867

Collatz Trajectory (212 steps to reach 1)

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

8,748,867 26,246,602 13,123,301 39,369,904 19,684,952 9,842,476 4,921,238 2,460,619 7,381,858 3,690,929 11,072,788 5,536,394 2,768,197 8,304,592 4,152,296 2,076,148 1,038,074 519,037 1,557,112 778,556 389,278 194,639 583,918 291,959 875,878 437,939 1,313,818 656,909 1,970,728 985,364 492,682 246,341 739,024 369,512 184,756 92,378 46,189 138,568 69,284 34,642 17,321 51,964 25,982 12,991 38,974 19,487 58,462 29,231 87,694 43,847 131,542 65,771 197,314 98,657 295,972 147,986 73,993 221,980 110,990 55,495

More profiles

← Previous Integer #8,748,866 Browse Full Index Next Integer #8,748,868 →