λ
Prime Ledger

3,431,102

2 × 109 × 15739
Deficient Even Composite

3,431,102 has the prime decomposition 2 × 109 × 15739. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 109 × 15739
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,194,200
Proper Divisor Sum 1,763,098
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #3431089 ← → #3431119

Radix Representation

Decimal 3431102
Binary 1101000101101010111110 (22 bits)
Octal 0o15055276
Hexadecimal 0x345ABE

Divisor Catalog (8)

1 2 109 218 15,739 31,478 1,715,551 3,431,102

Collatz Trajectory (128 steps to reach 1)

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

3,431,102 1,715,551 5,146,654 2,573,327 7,719,982 3,859,991 11,579,974 5,789,987 17,369,962 8,684,981 26,054,944 13,027,472 6,513,736 3,256,868 1,628,434 814,217 2,442,652 1,221,326 610,663 1,831,990 915,995 2,747,986 1,373,993 4,121,980 2,060,990 1,030,495 3,091,486 1,545,743 4,637,230 2,318,615 6,955,846 3,477,923 10,433,770 5,216,885 15,650,656 7,825,328 3,912,664 1,956,332 978,166 489,083 1,467,250 733,625 2,200,876 1,100,438 550,219 1,650,658 825,329 2,475,988 1,237,994 618,997 1,856,992 928,496 464,248 232,124 116,062 58,031 174,094 87,047 261,142 130,571

More profiles

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