λ
Sequence Observatory

5,332,580

22 × 5 × 11 × 24239
Abundant Even Composite

Starting at 5,332,580, the Collatz iteration reaches 1 after 118 steps. The first transition is 2666290; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 24239
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,216,960
Proper Divisor Sum 6,884,380
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5332567 ← → #5332601

Radix Representation

Decimal 5332580
Binary 10100010101111001100100 (23 bits)
Octal 0o24257144
Hexadecimal 0x515E64

Divisor Catalog (24)

1 2 4 5 10 11 20 22 44 55 110 220 24,239 48,478 96,956 121,195 242,390 266,629 484,780 533,258 1,066,516 1,333,145 2,666,290 5,332,580

Collatz Trajectory (118 steps to reach 1)

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

5,332,580 2,666,290 1,333,145 3,999,436 1,999,718 999,859 2,999,578 1,499,789 4,499,368 2,249,684 1,124,842 562,421 1,687,264 843,632 421,816 210,908 105,454 52,727 158,182 79,091 237,274 118,637 355,912 177,956 88,978 44,489 133,468 66,734 33,367 100,102 50,051 150,154 75,077 225,232 112,616 56,308 28,154 14,077 42,232 21,116 10,558 5,279 15,838 7,919 23,758 11,879 35,638 17,819 53,458 26,729 80,188 40,094 20,047 60,142 30,071 90,214 45,107 135,322 67,661 202,984

More profiles

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