λ
Zalai Atlas

4,361,736

23 × 3 × 181739
Abundant Even Composite

4,361,736 has the prime decomposition 2^3 × 3 × 181739. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 181739
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,904,400
Proper Divisor Sum 6,542,664
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4361729 ← → #4361737

Radix Representation

Decimal 4361736
Binary 10000101000111000001000 (23 bits)
Octal 0o20507010
Hexadecimal 0x428E08

Divisor Catalog (16)

1 2 3 4 6 8 12 24 181,739 363,478 545,217 726,956 1,090,434 1,453,912 2,180,868 4,361,736

Collatz Trajectory (149 steps to reach 1)

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

4,361,736 2,180,868 1,090,434 545,217 1,635,652 817,826 408,913 1,226,740 613,370 306,685 920,056 460,028 230,014 115,007 345,022 172,511 517,534 258,767 776,302 388,151 1,164,454 582,227 1,746,682 873,341 2,620,024 1,310,012 655,006 327,503 982,510 491,255 1,473,766 736,883 2,210,650 1,105,325 3,315,976 1,657,988 828,994 414,497 1,243,492 621,746 310,873 932,620 466,310 233,155 699,466 349,733 1,049,200 524,600 262,300 131,150 65,575 196,726 98,363 295,090 147,545 442,636 221,318 110,659 331,978 165,989

More profiles

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