λ
Sigma Notebook

7,414,710

2 × 3 × 5 × 439 × 563
Abundant Even Composite

7,414,710 is even and not a perfect square. Its factorization is 2 × 3 × 5 × 439 × 563 and its 32 divisors sum to 17,867,520.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 439 × 563
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,867,520
Proper Divisor Sum 10,452,810
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7414709 ← → #7414711

Radix Representation

Decimal 7414710
Binary 11100010010001110110110 (23 bits)
Octal 0o34221666
Hexadecimal 0x7123B6

Divisor Catalog (32)

1 2 3 5 6 10 15 30 439 563 878 1,126 1,317 1,689 2,195 2,634 2,815 3,378 4,390 5,630 6,585 8,445 13,170 16,890 247,157 494,314 741,471 1,235,785 1,482,942 2,471,570 3,707,355 7,414,710

Collatz Trajectory (235 steps to reach 1)

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

7,414,710 3,707,355 11,122,066 5,561,033 16,683,100 8,341,550 4,170,775 12,512,326 6,256,163 18,768,490 9,384,245 28,152,736 14,076,368 7,038,184 3,519,092 1,759,546 879,773 2,639,320 1,319,660 659,830 329,915 989,746 494,873 1,484,620 742,310 371,155 1,113,466 556,733 1,670,200 835,100 417,550 208,775 626,326 313,163 939,490 469,745 1,409,236 704,618 352,309 1,056,928 528,464 264,232 132,116 66,058 33,029 99,088 49,544 24,772 12,386 6,193 18,580 9,290 4,645 13,936 6,968 3,484 1,742 871 2,614 1,307

More profiles

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