λ
Sigma Notebook

8,427,706

2 × 72 × 23 × 3739
Deficient Even Composite

8,427,706 is even and not a perfect square. Its factorization is 2 × 7^2 × 23 × 3739 and its 24 divisors sum to 15,348,960.

Prime Factor Structure

Factorization String 2 × 7^2 × 23 × 3739
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,348,960
Proper Divisor Sum 6,921,254
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8427701 ← → #8427707

Radix Representation

Decimal 8427706
Binary 100000001001100010111010 (24 bits)
Octal 0o40114272
Hexadecimal 0x8098BA

Divisor Catalog (24)

1 2 7 14 23 46 49 98 161 322 1,127 2,254 3,739 7,478 26,173 52,346 85,997 171,994 183,211 366,422 601,979 1,203,958 4,213,853 8,427,706

Collatz Trajectory (274 steps to reach 1)

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

8,427,706 4,213,853 12,641,560 6,320,780 3,160,390 1,580,195 4,740,586 2,370,293 7,110,880 3,555,440 1,777,720 888,860 444,430 222,215 666,646 333,323 999,970 499,985 1,499,956 749,978 374,989 1,124,968 562,484 281,242 140,621 421,864 210,932 105,466 52,733 158,200 79,100 39,550 19,775 59,326 29,663 88,990 44,495 133,486 66,743 200,230 100,115 300,346 150,173 450,520 225,260 112,630 56,315 168,946 84,473 253,420 126,710 63,355 190,066 95,033 285,100 142,550 71,275 213,826 106,913 320,740

More profiles

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