λ
Harmonic Matrix

8,666,621

29 × 37 × 41 × 197
Deficient Odd Composite

8,666,621 has digital root 8. The neighboring primes are 8666597 and 8666627; its proper-divisor sum differs from the starting integer by -7,853,002.

Prime Factor Structure

Factorization String 29 × 37 × 41 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,480,240
Proper Divisor Sum 813,619
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8666597 ← → #8666627

Radix Representation

Decimal 8666621
Binary 100001000011110111111101 (24 bits)
Octal 0o41036775
Hexadecimal 0x843DFD

Divisor Catalog (16)

1 29 37 41 197 1,073 1,189 1,517 5,713 7,289 8,077 43,993 211,381 234,233 298,849 8,666,621

Collatz Trajectory (256 steps to reach 1)

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

8,666,621 25,999,864 12,999,932 6,499,966 3,249,983 9,749,950 4,874,975 14,624,926 7,312,463 21,937,390 10,968,695 32,906,086 16,453,043 49,359,130 24,679,565 74,038,696 37,019,348 18,509,674 9,254,837 27,764,512 13,882,256 6,941,128 3,470,564 1,735,282 867,641 2,602,924 1,301,462 650,731 1,952,194 976,097 2,928,292 1,464,146 732,073 2,196,220 1,098,110 549,055 1,647,166 823,583 2,470,750 1,235,375 3,706,126 1,853,063 5,559,190 2,779,595 8,338,786 4,169,393 12,508,180 6,254,090 3,127,045 9,381,136 4,690,568 2,345,284 1,172,642 586,321 1,758,964 879,482 439,741 1,319,224 659,612 329,806

More profiles

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