λ
Harmonic Matrix

2,738,227

2738227
Deficient Odd Prime

2,738,227 has digital root 4. The neighboring primes are 2738201 and 2738231; its proper-divisor sum differs from the starting integer by -2,738,226.

Prime Factor Structure

Factorization String 2738227
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,738,228
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2738201 ← → #2738231

Radix Representation

Decimal 2738227
Binary 1010011100100000110011 (22 bits)
Octal 0o12344063
Hexadecimal 0x29C833

Divisor Catalog (2)

Collatz Trajectory (156 steps to reach 1)

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

2,738,227 8,214,682 4,107,341 12,322,024 6,161,012 3,080,506 1,540,253 4,620,760 2,310,380 1,155,190 577,595 1,732,786 866,393 2,599,180 1,299,590 649,795 1,949,386 974,693 2,924,080 1,462,040 731,020 365,510 182,755 548,266 274,133 822,400 411,200 205,600 102,800 51,400 25,700 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485

More profiles

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