λ
Sequence Observatory

3,561,156

22 × 32 × 31 × 3191
Abundant Even Composite

Starting at 3,561,156, the Collatz iteration reaches 1 after 159 steps. The first transition is 1780578; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 31 × 3191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 9,295,104
Proper Divisor Sum 5,733,948
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3561149 ← → #3561167

Radix Representation

Decimal 3561156
Binary 1101100101011011000100 (22 bits)
Octal 0o15453304
Hexadecimal 0x3656C4

Divisor Catalog (36)

1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1,116 3,191 6,382 9,573 12,764 19,146 28,719 38,292 57,438 98,921 114,876 197,842 296,763 395,684 593,526 890,289 1,187,052 1,780,578 3,561,156

Collatz Trajectory (159 steps to reach 1)

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

3,561,156 1,780,578 890,289 2,670,868 1,335,434 667,717 2,003,152 1,001,576 500,788 250,394 125,197 375,592 187,796 93,898 46,949 140,848 70,424 35,212 17,606 8,803 26,410 13,205 39,616 19,808 9,904 4,952 2,476 1,238 619 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107

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