λ
Sequence Observatory

1,210,191

3 × 23 × 17539
Deficient Odd Composite

Starting at 1,210,191, the Collatz iteration reaches 1 after 191 steps. The first transition is 3630574; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 23 × 17539
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,683,840
Proper Divisor Sum 473,649
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1210177 ← → #1210193

Radix Representation

Decimal 1210191
Binary 100100111011101001111 (21 bits)
Octal 0o4473517
Hexadecimal 0x12774F

Divisor Catalog (8)

1 3 23 69 17,539 52,617 403,397 1,210,191

Collatz Trajectory (191 steps to reach 1)

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

1,210,191 3,630,574 1,815,287 5,445,862 2,722,931 8,168,794 4,084,397 12,253,192 6,126,596 3,063,298 1,531,649 4,594,948 2,297,474 1,148,737 3,446,212 1,723,106 861,553 2,584,660 1,292,330 646,165 1,938,496 969,248 484,624 242,312 121,156 60,578 30,289 90,868 45,434 22,717 68,152 34,076 17,038 8,519 25,558 12,779 38,338 19,169 57,508 28,754 14,377 43,132 21,566 10,783 32,350 16,175 48,526 24,263 72,790 36,395 109,186 54,593 163,780 81,890 40,945 122,836 61,418 30,709 92,128 46,064

More profiles

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