9,731,830

2 × 5 × 31 × 31393

9,731,830 factors as 2 × 5 × 31 × 31393. Its 16 positive divisors give a proper-divisor sum of 8,351,114, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2 × 5 × 31 × 31393

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,082,944

Proper Divisor Sum 8,351,114

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #9731779 ← → #9731831

Radix Representation

Decimal	9731830
Binary	100101000111111011110110 (24 bits)
Octal	0o45077366
Hexadecimal	0x947EF6

Divisor Catalog (16)

1 2 5 10 31 62 155 310 31,393 62,786 156,965 313,930 973,183 1,946,366 4,865,915 9,731,830

Collatz Trajectory (88 steps to reach 1)

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

9,731,830 4,865,915 14,597,746 7,298,873 21,896,620 10,948,310 5,474,155 16,422,466 8,211,233 24,633,700 12,316,850 6,158,425 18,475,276 9,237,638 4,618,819 13,856,458 6,928,229 20,784,688 10,392,344 5,196,172 2,598,086 1,299,043 3,897,130 1,948,565 5,845,696 2,922,848 1,461,424 730,712 365,356 182,678 91,339 274,018 137,009 411,028 205,514 102,757 308,272 154,136 77,068 38,534 19,267 57,802 28,901 86,704 43,352 21,676 10,838 5,419 16,258 8,129 24,388 12,194 6,097 18,292 9,146 4,573 13,720 6,860 3,430 1,715

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