λ
Prime Ledger

534,036

22 × 3 × 191 × 233
Abundant Even Composite

534,036 has the prime decomposition 2^2 × 3 × 191 × 233. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 191 × 233
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,257,984
Proper Divisor Sum 723,948
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #534029 ← → #534043

Radix Representation

Decimal 534036
Binary 10000010011000010100 (20 bits)
Octal 0o2023024
Hexadecimal 0x82614

Divisor Catalog (24)

1 2 3 4 6 12 191 233 382 466 573 699 764 932 1,146 1,398 2,292 2,796 44,503 89,006 133,509 178,012 267,018 534,036

Collatz Trajectory (71 steps to reach 1)

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

534,036 267,018 133,509 400,528 200,264 100,132 50,066 25,033 75,100 37,550 18,775 56,326 28,163 84,490 42,245 126,736 63,368 31,684 15,842 7,921 23,764 11,882 5,941 17,824 8,912 4,456 2,228 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17

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