λ
Sequence Observatory

2,021,421

3 × 37 × 18211
Deficient Odd Composite

Starting at 2,021,421, the Collatz iteration reaches 1 after 91 steps. The first transition is 6064264; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 37 × 18211
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,768,224
Proper Divisor Sum 746,803
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #2021381 ← → #2021431

Radix Representation

Decimal 2021421
Binary 111101101100000101101 (21 bits)
Octal 0o7554055
Hexadecimal 0x1ED82D

Divisor Catalog (8)

1 3 37 111 18,211 54,633 673,807 2,021,421

Collatz Trajectory (91 steps to reach 1)

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

2,021,421 6,064,264 3,032,132 1,516,066 758,033 2,274,100 1,137,050 568,525 1,705,576 852,788 426,394 213,197 639,592 319,796 159,898 79,949 239,848 119,924 59,962 29,981 89,944 44,972 22,486 11,243 33,730 16,865 50,596 25,298 12,649 37,948 18,974 9,487 28,462 14,231 42,694 21,347 64,042 32,021 96,064 48,032 24,016 12,008 6,004 3,002 1,501 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358

More profiles

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