λ
Harmonic Matrix

9,682,841

72 × 197609
Deficient Odd Composite

9,682,841 has digital root 2. The neighboring primes are 9682823 and 9682853; its proper-divisor sum differs from the starting integer by -8,101,912.

Prime Factor Structure

Factorization String 7^2 × 197609
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 11,263,770
Proper Divisor Sum 1,580,929
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9682823 ← → #9682853

Radix Representation

Decimal 9682841
Binary 100100111011111110011001 (24 bits)
Octal 0o44737631
Hexadecimal 0x93BF99

Divisor Catalog (6)

1 7 49 197,609 1,383,263 9,682,841

Collatz Trajectory (163 steps to reach 1)

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

9,682,841 29,048,524 14,524,262 7,262,131 21,786,394 10,893,197 32,679,592 16,339,796 8,169,898 4,084,949 12,254,848 6,127,424 3,063,712 1,531,856 765,928 382,964 191,482 95,741 287,224 143,612 71,806 35,903 107,710 53,855 161,566 80,783 242,350 121,175 363,526 181,763 545,290 272,645 817,936 408,968 204,484 102,242 51,121 153,364 76,682 38,341 115,024 57,512 28,756 14,378 7,189 21,568 10,784 5,392 2,696 1,348 674 337 1,012 506 253 760 380 190 95 286

More profiles

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