λ
Sequence Observatory

6,288,558

2 × 3 × 79 × 13267
Abundant Even Composite

Starting at 6,288,558, the Collatz iteration reaches 1 after 227 steps. The first transition is 3144279; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 79 × 13267
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,737,280
Proper Divisor Sum 6,448,722
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6288517 ← → #6288559

Radix Representation

Decimal 6288558
Binary 10111111111010010101110 (23 bits)
Octal 0o27772256
Hexadecimal 0x5FF4AE

Divisor Catalog (16)

1 2 3 6 79 158 237 474 13,267 26,534 39,801 79,602 1,048,093 2,096,186 3,144,279 6,288,558

Collatz Trajectory (227 steps to reach 1)

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

6,288,558 3,144,279 9,432,838 4,716,419 14,149,258 7,074,629 21,223,888 10,611,944 5,305,972 2,652,986 1,326,493 3,979,480 1,989,740 994,870 497,435 1,492,306 746,153 2,238,460 1,119,230 559,615 1,678,846 839,423 2,518,270 1,259,135 3,777,406 1,888,703 5,666,110 2,833,055 8,499,166 4,249,583 12,748,750 6,374,375 19,123,126 9,561,563 28,684,690 14,342,345 43,027,036 21,513,518 10,756,759 32,270,278 16,135,139 48,405,418 24,202,709 72,608,128 36,304,064 18,152,032 9,076,016 4,538,008 2,269,004 1,134,502 567,251 1,701,754 850,877 2,552,632 1,276,316 638,158 319,079 957,238 478,619 1,435,858

More profiles

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