λ
Prime Ledger

4,036,076

22 × 112 × 31 × 269
Deficient Even Composite

4,036,076 has the prime decomposition 2^2 × 11^2 × 31 × 269. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 31 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 8,043,840
Proper Divisor Sum 4,007,764
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4036069 ← → #4036091

Radix Representation

Decimal 4036076
Binary 1111011001010111101100 (22 bits)
Octal 0o17312754
Hexadecimal 0x3D95EC

Divisor Catalog (36)

1 2 4 11 22 31 44 62 121 124 242 269 341 484 538 682 1,076 1,364 2,959 3,751 5,918 7,502 8,339 11,836 15,004 16,678 32,549 33,356 65,098 91,729 130,196 183,458 366,916 1,009,019 2,018,038 4,036,076

Collatz Trajectory (154 steps to reach 1)

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

4,036,076 2,018,038 1,009,019 3,027,058 1,513,529 4,540,588 2,270,294 1,135,147 3,405,442 1,702,721 5,108,164 2,554,082 1,277,041 3,831,124 1,915,562 957,781 2,873,344 1,436,672 718,336 359,168 179,584 89,792 44,896 22,448 11,224 5,612 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121

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