λ
Prime Ledger

3,428,946

2 × 33 × 63499
Abundant Even Composite

3,428,946 has the prime decomposition 2 × 3^3 × 63499. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 63499
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,620,000
Proper Divisor Sum 4,191,054
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3428923 ← → #3428947

Radix Representation

Decimal 3428946
Binary 1101000101001001010010 (22 bits)
Octal 0o15051122
Hexadecimal 0x345252

Divisor Catalog (16)

1 2 3 6 9 18 27 54 63,499 126,998 190,497 380,994 571,491 1,142,982 1,714,473 3,428,946

Collatz Trajectory (221 steps to reach 1)

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

3,428,946 1,714,473 5,143,420 2,571,710 1,285,855 3,857,566 1,928,783 5,786,350 2,893,175 8,679,526 4,339,763 13,019,290 6,509,645 19,528,936 9,764,468 4,882,234 2,441,117 7,323,352 3,661,676 1,830,838 915,419 2,746,258 1,373,129 4,119,388 2,059,694 1,029,847 3,089,542 1,544,771 4,634,314 2,317,157 6,951,472 3,475,736 1,737,868 868,934 434,467 1,303,402 651,701 1,955,104 977,552 488,776 244,388 122,194 61,097 183,292 91,646 45,823 137,470 68,735 206,206 103,103 309,310 154,655 463,966 231,983 695,950 347,975 1,043,926 521,963 1,565,890 782,945

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