λ
Prime Ledger

2,561,129

2561129
Deficient Odd Prime

2,561,129 has the prime decomposition 2561129. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 2561129
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,561,130
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2561099 ← → #2561137

Radix Representation

Decimal 2561129
Binary 1001110001010001101001 (22 bits)
Octal 0o11612151
Hexadecimal 0x271469

Divisor Catalog (2)

Collatz Trajectory (112 steps to reach 1)

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

2,561,129 7,683,388 3,841,694 1,920,847 5,762,542 2,881,271 8,643,814 4,321,907 12,965,722 6,482,861 19,448,584 9,724,292 4,862,146 2,431,073 7,293,220 3,646,610 1,823,305 5,469,916 2,734,958 1,367,479 4,102,438 2,051,219 6,153,658 3,076,829 9,230,488 4,615,244 2,307,622 1,153,811 3,461,434 1,730,717 5,192,152 2,596,076 1,298,038 649,019 1,947,058 973,529 2,920,588 1,460,294 730,147 2,190,442 1,095,221 3,285,664 1,642,832 821,416 410,708 205,354 102,677 308,032 154,016 77,008 38,504 19,252 9,626 4,813 14,440 7,220 3,610 1,805 5,416 2,708

More profiles

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