λ
Prime Ledger

2,157,427

2157427
Deficient Odd Prime

2,157,427 has the prime decomposition 2157427. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 2157427
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,157,428
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2157413 ← → #2157451

Radix Representation

Decimal 2157427
Binary 1000001110101101110011 (22 bits)
Octal 0o10165563
Hexadecimal 0x20EB73

Divisor Catalog (2)

Collatz Trajectory (135 steps to reach 1)

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

2,157,427 6,472,282 3,236,141 9,708,424 4,854,212 2,427,106 1,213,553 3,640,660 1,820,330 910,165 2,730,496 1,365,248 682,624 341,312 170,656 85,328 42,664 21,332 10,666 5,333 16,000 8,000 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395

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