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Atlas › Integer Profiles › Node 114,129

114,129

34 × 1409
Deficient Odd Composite

114,129 has the prime decomposition 3^4 × 1409. Its 2 distinct prime factors produce 10 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 1409
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 170,610
Proper Divisor Sum 56,481
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #114113 ← → #114143

Radix Representation

Decimal 114129
Binary 11011110111010001 (17 bits)
Octal 0o336721
Hexadecimal 0x1BDD1

Divisor Catalog (10)

1 3 9 27 81 1,409 4,227 12,681 38,043 114,129

Collatz Trajectory (53 steps to reach 1)

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

114,129 342,388 171,194 85,597 256,792 128,396 64,198 32,099 96,298 48,149 144,448 72,224 36,112 18,056 9,028 4,514 2,257 6,772 3,386 1,693 5,080 2,540 1,270 635 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

More profiles

6,298,479 5,276,324 2,275,632 1,030,703 7,621,486 3,936,274 5,120,890 1,574,674 752,120 5,082,821 6,626,856 4,665,474 7,208,884 4,771,760 9,130,125 2,731,811
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