λ
Sequence Observatory

2,331,212

22 × 13 × 127 × 353
Deficient Even Composite

Starting at 2,331,212, the Collatz iteration reaches 1 after 117 steps. The first transition is 1165606; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 127 × 353
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,440,576
Proper Divisor Sum 2,109,364
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #2331191 ← → #2331253

Radix Representation

Decimal 2331212
Binary 1000111001001001001100 (22 bits)
Octal 0o10711114
Hexadecimal 0x23924C

Divisor Catalog (24)

1 2 4 13 26 52 127 254 353 508 706 1,412 1,651 3,302 4,589 6,604 9,178 18,356 44,831 89,662 179,324 582,803 1,165,606 2,331,212

Collatz Trajectory (117 steps to reach 1)

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

2,331,212 1,165,606 582,803 1,748,410 874,205 2,622,616 1,311,308 655,654 327,827 983,482 491,741 1,475,224 737,612 368,806 184,403 553,210 276,605 829,816 414,908 207,454 103,727 311,182 155,591 466,774 233,387 700,162 350,081 1,050,244 525,122 262,561 787,684 393,842 196,921 590,764 295,382 147,691 443,074 221,537 664,612 332,306 166,153 498,460 249,230 124,615 373,846 186,923 560,770 280,385 841,156 420,578 210,289 630,868 315,434 157,717 473,152 236,576 118,288 59,144 29,572 14,786

More profiles

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