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Atlas › Integer Profiles › Node 34,236

34,236

22 × 33 × 317
Abundant Even Composite

Starting at 34,236, the Collatz iteration reaches 1 after 80 steps. The first transition is 17118; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 317
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 89,040
Proper Divisor Sum 54,804
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #34231 ← → #34253

Radix Representation

Decimal 34236
Binary 1000010110111100 (16 bits)
Octal 0o102674
Hexadecimal 0x85BC

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 317 634 951 1,268 1,902 2,853 3,804 5,706 8,559 11,412 17,118 34,236

Collatz Trajectory (80 steps to reach 1)

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

34,236 17,118 8,559 25,678 12,839 38,518 19,259 57,778 28,889 86,668 43,334 21,667 65,002 32,501 97,504 48,752 24,376 12,188 6,094 3,047 9,142 4,571 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37

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