λ
Sequence Observatory

191,156

22 × 7 × 6827
Abundant Even Composite

Starting at 191,156, the Collatz iteration reaches 1 after 98 steps. The first transition is 95578; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 6827
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 382,368
Proper Divisor Sum 191,212
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #191143 ← → #191161

Radix Representation

Decimal 191156
Binary 101110101010110100 (18 bits)
Octal 0o565264
Hexadecimal 0x2EAB4

Divisor Catalog (12)

1 2 4 7 14 28 6,827 13,654 27,308 47,789 95,578 191,156

Collatz Trajectory (98 steps to reach 1)

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

191,156 95,578 47,789 143,368 71,684 35,842 17,921 53,764 26,882 13,441 40,324 20,162 10,081 30,244 15,122 7,561 22,684 11,342 5,671 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072 21,536 10,768 5,384 2,692 1,346 673 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222

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