λ
Sequence Observatory

2,021,503

11 × 29 × 6337
Deficient Odd Composite

Starting at 2,021,503, the Collatz iteration reaches 1 after 91 steps. The first transition is 6064510; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 29 × 6337
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,281,680
Proper Divisor Sum 260,177
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #2021501 ← → #2021507

Radix Representation

Decimal 2021503
Binary 111101101100001111111 (21 bits)
Octal 0o7554177
Hexadecimal 0x1ED87F

Divisor Catalog (8)

1 11 29 319 6,337 69,707 183,773 2,021,503

Collatz Trajectory (91 steps to reach 1)

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

2,021,503 6,064,510 3,032,255 9,096,766 4,548,383 13,645,150 6,822,575 20,467,726 10,233,863 30,701,590 15,350,795 46,052,386 23,026,193 69,078,580 34,539,290 17,269,645 51,808,936 25,904,468 12,952,234 6,476,117 19,428,352 9,714,176 4,857,088 2,428,544 1,214,272 607,136 303,568 151,784 75,892 37,946 18,973 56,920 28,460 14,230 7,115 21,346 10,673 32,020 16,010 8,005 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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