λ
Zalai Atlas

4,274,094

2 × 3 × 11 × 31 × 2089
Abundant Even Composite

4,274,094 has the prime decomposition 2 × 3 × 11 × 31 × 2089. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 31 × 2089
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,630,720
Proper Divisor Sum 5,356,626
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4274093 ← → #4274099

Radix Representation

Decimal 4274094
Binary 10000010011011110101110 (23 bits)
Octal 0o20233656
Hexadecimal 0x4137AE

Divisor Catalog (32)

1 2 3 6 11 22 31 33 62 66 93 186 341 682 1,023 2,046 2,089 4,178 6,267 12,534 22,979 45,958 64,759 68,937 129,518 137,874 194,277 388,554 712,349 1,424,698 2,137,047 4,274,094

Collatz Trajectory (136 steps to reach 1)

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

4,274,094 2,137,047 6,411,142 3,205,571 9,616,714 4,808,357 14,425,072 7,212,536 3,606,268 1,803,134 901,567 2,704,702 1,352,351 4,057,054 2,028,527 6,085,582 3,042,791 9,128,374 4,564,187 13,692,562 6,846,281 20,538,844 10,269,422 5,134,711 15,404,134 7,702,067 23,106,202 11,553,101 34,659,304 17,329,652 8,664,826 4,332,413 12,997,240 6,498,620 3,249,310 1,624,655 4,873,966 2,436,983 7,310,950 3,655,475 10,966,426 5,483,213 16,449,640 8,224,820 4,112,410 2,056,205 6,168,616 3,084,308 1,542,154 771,077 2,313,232 1,156,616 578,308 289,154 144,577 433,732 216,866 108,433 325,300 162,650

More profiles

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