λ
Sequence Observatory

2,549,512

23 × 7 × 53 × 859
Abundant Even Composite

Starting at 2,549,512, the Collatz iteration reaches 1 after 187 steps. The first transition is 1274756; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 53 × 859
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,572,800
Proper Divisor Sum 3,023,288
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2549479 ← → #2549531

Radix Representation

Decimal 2549512
Binary 1001101110011100001000 (22 bits)
Octal 0o11563410
Hexadecimal 0x26E708

Divisor Catalog (32)

1 2 4 7 8 14 28 53 56 106 212 371 424 742 859 1,484 1,718 2,968 3,436 6,013 6,872 12,026 24,052 45,527 48,104 91,054 182,108 318,689 364,216 637,378 1,274,756 2,549,512

Collatz Trajectory (187 steps to reach 1)

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

2,549,512 1,274,756 637,378 318,689 956,068 478,034 239,017 717,052 358,526 179,263 537,790 268,895 806,686 403,343 1,210,030 605,015 1,815,046 907,523 2,722,570 1,361,285 4,083,856 2,041,928 1,020,964 510,482 255,241 765,724 382,862 191,431 574,294 287,147 861,442 430,721 1,292,164 646,082 323,041 969,124 484,562 242,281 726,844 363,422 181,711 545,134 272,567 817,702 408,851 1,226,554 613,277 1,839,832 919,916 459,958 229,979 689,938 344,969 1,034,908 517,454 258,727 776,182 388,091 1,164,274 582,137

More profiles

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