λ
Modular Archive

2,139,427

2139427
Deficient Odd Prime

The decimal integer 2,139,427 is 1000001010010100100011 in binary (22 bits), 10122443 in octal and 20A523 in hexadecimal. Its digit sum is 28.

Prime Factor Structure

Factorization String 2139427
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,139,428
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2139409 ← → #2139461

Radix Representation

Decimal 2139427
Binary 1000001010010100100011 (22 bits)
Octal 0o10122443
Hexadecimal 0x20A523

Divisor Catalog (2)

Collatz Trajectory (122 steps to reach 1)

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

2,139,427 6,418,282 3,209,141 9,627,424 4,813,712 2,406,856 1,203,428 601,714 300,857 902,572 451,286 225,643 676,930 338,465 1,015,396 507,698 253,849 761,548 380,774 190,387 571,162 285,581 856,744 428,372 214,186 107,093 321,280 160,640 80,320 40,160 20,080 10,040 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588

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