λ
Harmonic Matrix

9,971,822

2 × 7 × 479 × 1487
Deficient Even Composite

9,971,822 has digital root 2. The neighboring primes are 9971807 and 9971837; its proper-divisor sum differs from the starting integer by -2,801,884.

Prime Factor Structure

Factorization String 2 × 7 × 479 × 1487
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,141,760
Proper Divisor Sum 7,169,938
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9971807 ← → #9971837

Radix Representation

Decimal 9971822
Binary 100110000010100001101110 (24 bits)
Octal 0o46024156
Hexadecimal 0x98286E

Divisor Catalog (16)

1 2 7 14 479 958 1,487 2,974 3,353 6,706 10,409 20,818 712,273 1,424,546 4,985,911 9,971,822

Collatz Trajectory (251 steps to reach 1)

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

9,971,822 4,985,911 14,957,734 7,478,867 22,436,602 11,218,301 33,654,904 16,827,452 8,413,726 4,206,863 12,620,590 6,310,295 18,930,886 9,465,443 28,396,330 14,198,165 42,594,496 21,297,248 10,648,624 5,324,312 2,662,156 1,331,078 665,539 1,996,618 998,309 2,994,928 1,497,464 748,732 374,366 187,183 561,550 280,775 842,326 421,163 1,263,490 631,745 1,895,236 947,618 473,809 1,421,428 710,714 355,357 1,066,072 533,036 266,518 133,259 399,778 199,889 599,668 299,834 149,917 449,752 224,876 112,438 56,219 168,658 84,329 252,988 126,494 63,247

More profiles

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