2,109,541

7 × 301363

Starting at 2,109,541, the Collatz iteration reaches 1 after 166 steps. The first transition is 6328624; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 301363

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 2,410,912

Proper Divisor Sum 301,371

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #2109533 ← → #2109553

Radix Representation

Decimal	2109541
Binary	1000000011000001100101 (22 bits)
Octal	0o10030145
Hexadecimal	0x203065

Divisor Catalog (4)

1 7 301,363 2,109,541

Collatz Trajectory (166 steps to reach 1)

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

2,109,541 6,328,624 3,164,312 1,582,156 791,078 395,539 1,186,618 593,309 1,779,928 889,964 444,982 222,491 667,474 333,737 1,001,212 500,606 250,303 750,910 375,455 1,126,366 563,183 1,689,550 844,775 2,534,326 1,267,163 3,801,490 1,900,745 5,702,236 2,851,118 1,425,559 4,276,678 2,138,339 6,415,018 3,207,509 9,622,528 4,811,264 2,405,632 1,202,816 601,408 300,704 150,352 75,176 37,588 18,794 9,397 28,192 14,096 7,048 3,524 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62

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