λ
Prime Ledger

3,546,102

2 × 3 × 7 × 84431
Abundant Even Composite

3,546,102 has the prime decomposition 2 × 3 × 7 × 84431. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 84431
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,105,472
Proper Divisor Sum 4,559,370
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3546089 ← → #3546119

Radix Representation

Decimal 3546102
Binary 1101100001101111110110 (22 bits)
Octal 0o15415766
Hexadecimal 0x361BF6

Divisor Catalog (16)

1 2 3 6 7 14 21 42 84,431 168,862 253,293 506,586 591,017 1,182,034 1,773,051 3,546,102

Collatz Trajectory (84 steps to reach 1)

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

3,546,102 1,773,051 5,319,154 2,659,577 7,978,732 3,989,366 1,994,683 5,984,050 2,992,025 8,976,076 4,488,038 2,244,019 6,732,058 3,366,029 10,098,088 5,049,044 2,524,522 1,262,261 3,786,784 1,893,392 946,696 473,348 236,674 118,337 355,012 177,506 88,753 266,260 133,130 66,565 199,696 99,848 49,924 24,962 12,481 37,444 18,722 9,361 28,084 14,042 7,021 21,064 10,532 5,266 2,633 7,900 3,950 1,975 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752

More profiles

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