λ
Harmonic Matrix

9,766,810

2 × 5 × 479 × 2039
Deficient Even Composite

9,766,810 has digital root 1. The neighboring primes are 9766807 and 9766819; its proper-divisor sum differs from the starting integer by -1,908,020.

Prime Factor Structure

Factorization String 2 × 5 × 479 × 2039
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,625,600
Proper Divisor Sum 7,858,790
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9766807 ← → #9766819

Radix Representation

Decimal 9766810
Binary 100101010000011110011010 (24 bits)
Octal 0o45203632
Hexadecimal 0x95079A

Divisor Catalog (16)

1 2 5 10 479 958 2,039 2,395 4,078 4,790 10,195 20,390 976,681 1,953,362 4,883,405 9,766,810

Collatz Trajectory (163 steps to reach 1)

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

9,766,810 4,883,405 14,650,216 7,325,108 3,662,554 1,831,277 5,493,832 2,746,916 1,373,458 686,729 2,060,188 1,030,094 515,047 1,545,142 772,571 2,317,714 1,158,857 3,476,572 1,738,286 869,143 2,607,430 1,303,715 3,911,146 1,955,573 5,866,720 2,933,360 1,466,680 733,340 366,670 183,335 550,006 275,003 825,010 412,505 1,237,516 618,758 309,379 928,138 464,069 1,392,208 696,104 348,052 174,026 87,013 261,040 130,520 65,260 32,630 16,315 48,946 24,473 73,420 36,710 18,355 55,066 27,533 82,600 41,300 20,650 10,325

More profiles

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