λ
Sequence Observatory

3,880,112

24 × 197 × 1231
Deficient Even Composite

Starting at 3,880,112, the Collatz iteration reaches 1 after 154 steps. The first transition is 1940056; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 197 × 1231
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 7,562,016
Proper Divisor Sum 3,681,904
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3880099 ← → #3880127

Radix Representation

Decimal 3880112
Binary 1110110011010010110000 (22 bits)
Octal 0o16632260
Hexadecimal 0x3B34B0

Divisor Catalog (20)

1 2 4 8 16 197 394 788 1,231 1,576 2,462 3,152 4,924 9,848 19,696 242,507 485,014 970,028 1,940,056 3,880,112

Collatz Trajectory (154 steps to reach 1)

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

3,880,112 1,940,056 970,028 485,014 242,507 727,522 363,761 1,091,284 545,642 272,821 818,464 409,232 204,616 102,308 51,154 25,577 76,732 38,366 19,183 57,550 28,775 86,326 43,163 129,490 64,745 194,236 97,118 48,559 145,678 72,839 218,518 109,259 327,778 163,889 491,668 245,834 122,917 368,752 184,376 92,188 46,094 23,047 69,142 34,571 103,714 51,857 155,572 77,786 38,893 116,680 58,340 29,170 14,585 43,756 21,878 10,939 32,818 16,409 49,228 24,614

More profiles

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