9,727,396

2² × 7 × 73 × 4759

9,727,396 is even and not a perfect square. Its factorization is 2^2 × 7 × 73 × 4759 and its 24 divisors sum to 19,725,440.

Prime Factor Structure

Factorization String 2^2 × 7 × 73 × 4759

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,725,440

Proper Divisor Sum 9,998,044

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #9727391 ← → #9727427

Radix Representation

Decimal	9727396
Binary	100101000110110110100100 (24 bits)
Octal	0o45066644
Hexadecimal	0x946DA4

Divisor Catalog (24)

1 2 4 7 14 28 73 146 292 511 1,022 2,044 4,759 9,518 19,036 33,313 66,626 133,252 347,407 694,814 1,389,628 2,431,849 4,863,698 9,727,396

Collatz Trajectory (114 steps to reach 1)

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

9,727,396 4,863,698 2,431,849 7,295,548 3,647,774 1,823,887 5,471,662 2,735,831 8,207,494 4,103,747 12,311,242 6,155,621 18,466,864 9,233,432 4,616,716 2,308,358 1,154,179 3,462,538 1,731,269 5,193,808 2,596,904 1,298,452 649,226 324,613 973,840 486,920 243,460 121,730 60,865 182,596 91,298 45,649 136,948 68,474 34,237 102,712 51,356 25,678 12,839 38,518 19,259 57,778 28,889 86,668 43,334 21,667 65,002 32,501 97,504 48,752 24,376 12,188 6,094 3,047 9,142 4,571 13,714 6,857 20,572 10,286

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