λ
Sequence Observatory

5,520,208

24 × 29 × 11897
Abundant Even Composite

Starting at 5,520,208, the Collatz iteration reaches 1 after 139 steps. The first transition is 2760104; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 29 × 11897
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 11,065,140
Proper Divisor Sum 5,544,932
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5520191 ← → #5520233

Radix Representation

Decimal 5520208
Binary 10101000011101101010000 (23 bits)
Octal 0o25035520
Hexadecimal 0x543B50

Divisor Catalog (20)

1 2 4 8 16 29 58 116 232 464 11,897 23,794 47,588 95,176 190,352 345,013 690,026 1,380,052 2,760,104 5,520,208

Collatz Trajectory (139 steps to reach 1)

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

5,520,208 2,760,104 1,380,052 690,026 345,013 1,035,040 517,520 258,760 129,380 64,690 32,345 97,036 48,518 24,259 72,778 36,389 109,168 54,584 27,292 13,646 6,823 20,470 10,235 30,706 15,353 46,060 23,030 11,515 34,546 17,273 51,820 25,910 12,955 38,866 19,433 58,300 29,150 14,575 43,726 21,863 65,590 32,795 98,386 49,193 147,580 73,790 36,895 110,686 55,343 166,030 83,015 249,046 124,523 373,570 186,785 560,356 280,178 140,089 420,268 210,134

More profiles

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