λ
Prime Ledger

9,700,422

2 × 3 × 137 × 11801
Abundant Even Composite

9,700,422 has the prime decomposition 2 × 3 × 137 × 11801. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 137 × 11801
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 19,544,112
Proper Divisor Sum 9,843,690
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9700417 ← → #9700429

Radix Representation

Decimal 9700422
Binary 100101000000010001000110 (24 bits)
Octal 0o45002106
Hexadecimal 0x940446

Divisor Catalog (16)

1 2 3 6 137 274 411 822 11,801 23,602 35,403 70,806 1,616,737 3,233,474 4,850,211 9,700,422

Collatz Trajectory (207 steps to reach 1)

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

9,700,422 4,850,211 14,550,634 7,275,317 21,825,952 10,912,976 5,456,488 2,728,244 1,364,122 682,061 2,046,184 1,023,092 511,546 255,773 767,320 383,660 191,830 95,915 287,746 143,873 431,620 215,810 107,905 323,716 161,858 80,929 242,788 121,394 60,697 182,092 91,046 45,523 136,570 68,285 204,856 102,428 51,214 25,607 76,822 38,411 115,234 57,617 172,852 86,426 43,213 129,640 64,820 32,410 16,205 48,616 24,308 12,154 6,077 18,232 9,116 4,558 2,279 6,838 3,419 10,258

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