λ
Sequence Observatory

2,151,021

3 × 107 × 6701
Deficient Odd Composite

Starting at 2,151,021, the Collatz iteration reaches 1 after 166 steps. The first transition is 6453064; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 107 × 6701
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,895,264
Proper Divisor Sum 744,243
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #2151013 ← → #2151031

Radix Representation

Decimal 2151021
Binary 1000001101001001101101 (22 bits)
Octal 0o10151155
Hexadecimal 0x20D26D

Divisor Catalog (8)

1 3 107 321 6,701 20,103 717,007 2,151,021

Collatz Trajectory (166 steps to reach 1)

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

2,151,021 6,453,064 3,226,532 1,613,266 806,633 2,419,900 1,209,950 604,975 1,814,926 907,463 2,722,390 1,361,195 4,083,586 2,041,793 6,125,380 3,062,690 1,531,345 4,594,036 2,297,018 1,148,509 3,445,528 1,722,764 861,382 430,691 1,292,074 646,037 1,938,112 969,056 484,528 242,264 121,132 60,566 30,283 90,850 45,425 136,276 68,138 34,069 102,208 51,104 25,552 12,776 6,388 3,194 1,597 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380

More profiles

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