λ
Harmonic Matrix

9,750,422

2 × 112 × 43 × 937
Deficient Even Composite

9,750,422 has digital root 2. The neighboring primes are 9750407 and 9750473; its proper-divisor sum differs from the starting integer by -3,033,316.

Prime Factor Structure

Factorization String 2 × 11^2 × 43 × 937
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,467,528
Proper Divisor Sum 6,717,106
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9750407 ← → #9750473

Radix Representation

Decimal 9750422
Binary 100101001100011110010110 (24 bits)
Octal 0o45143626
Hexadecimal 0x94C796

Divisor Catalog (24)

1 2 11 22 43 86 121 242 473 937 946 1,874 5,203 10,307 10,406 20,614 40,291 80,582 113,377 226,754 443,201 886,402 4,875,211 9,750,422

Collatz Trajectory (88 steps to reach 1)

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

9,750,422 4,875,211 14,625,634 7,312,817 21,938,452 10,969,226 5,484,613 16,453,840 8,226,920 4,113,460 2,056,730 1,028,365 3,085,096 1,542,548 771,274 385,637 1,156,912 578,456 289,228 144,614 72,307 216,922 108,461 325,384 162,692 81,346 40,673 122,020 61,010 30,505 91,516 45,758 22,879 68,638 34,319 102,958 51,479 154,438 77,219 231,658 115,829 347,488 173,744 86,872 43,436 21,718 10,859 32,578 16,289 48,868 24,434 12,217 36,652 18,326 9,163 27,490 13,745 41,236 20,618 10,309

More profiles

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