9,727,424

2⁶ × 7 × 21713

For 9,727,424, the 28 positive divisors have a total of 22,061,424. Removing 9,727,424 leaves 12,334,000, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^6 × 7 × 21713

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 22,061,424

Proper Divisor Sum 12,334,000

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #9727391 ← → #9727427

Radix Representation

Decimal	9727424
Binary	100101000110110111000000 (24 bits)
Octal	0o45066700
Hexadecimal	0x946DC0

Divisor Catalog (28)

1 2 4 7 8 14 16 28 32 56 64 112 224 448 21,713 43,426 86,852 151,991 173,704 303,982 347,408 607,964 694,816 1,215,928 1,389,632 2,431,856 4,863,712 9,727,424

Collatz Trajectory (114 steps to reach 1)

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

9,727,424 4,863,712 2,431,856 1,215,928 607,964 303,982 151,991 455,974 227,987 683,962 341,981 1,025,944 512,972 256,486 128,243 384,730 192,365 577,096 288,548 144,274 72,137 216,412 108,206 54,103 162,310 81,155 243,466 121,733 365,200 182,600 91,300 45,650 22,825 68,476 34,238 17,119 51,358 25,679 77,038 38,519 115,558 57,779 173,338 86,669 260,008 130,004 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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