λ
Sequence Observatory

2,030,103

34 × 71 × 353
Deficient Odd Composite

Starting at 2,030,103, the Collatz iteration reaches 1 after 228 steps. The first transition is 6090310; the starting value is odd with 20 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 71 × 353
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 3,084,048
Proper Divisor Sum 1,053,945
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #2030101 ← → #2030117

Radix Representation

Decimal 2030103
Binary 111101111101000010111 (21 bits)
Octal 0o7575027
Hexadecimal 0x1EFA17

Divisor Catalog (20)

1 3 9 27 71 81 213 353 639 1,059 1,917 3,177 5,751 9,531 25,063 28,593 75,189 225,567 676,701 2,030,103

Collatz Trajectory (228 steps to reach 1)

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

2,030,103 6,090,310 3,045,155 9,135,466 4,567,733 13,703,200 6,851,600 3,425,800 1,712,900 856,450 428,225 1,284,676 642,338 321,169 963,508 481,754 240,877 722,632 361,316 180,658 90,329 270,988 135,494 67,747 203,242 101,621 304,864 152,432 76,216 38,108 19,054 9,527 28,582 14,291 42,874 21,437 64,312 32,156 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642

More profiles

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