λ
Sequence Observatory

5,037,096

23 × 3 × 41 × 5119
Abundant Even Composite

Starting at 5,037,096, the Collatz iteration reaches 1 after 250 steps. The first transition is 2518548; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 41 × 5119
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,902,400
Proper Divisor Sum 7,865,304
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5037091 ← → #5037101

Radix Representation

Decimal 5037096
Binary 10011001101110000101000 (23 bits)
Octal 0o23156050
Hexadecimal 0x4CDC28

Divisor Catalog (32)

1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 5,119 10,238 15,357 20,476 30,714 40,952 61,428 122,856 209,879 419,758 629,637 839,516 1,259,274 1,679,032 2,518,548 5,037,096

Collatz Trajectory (250 steps to reach 1)

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

5,037,096 2,518,548 1,259,274 629,637 1,888,912 944,456 472,228 236,114 118,057 354,172 177,086 88,543 265,630 132,815 398,446 199,223 597,670 298,835 896,506 448,253 1,344,760 672,380 336,190 168,095 504,286 252,143 756,430 378,215 1,134,646 567,323 1,701,970 850,985 2,552,956 1,276,478 638,239 1,914,718 957,359 2,872,078 1,436,039 4,308,118 2,154,059 6,462,178 3,231,089 9,693,268 4,846,634 2,423,317 7,269,952 3,634,976 1,817,488 908,744 454,372 227,186 113,593 340,780 170,390 85,195 255,586 127,793 383,380 191,690

More profiles

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