9,712,238

2 × 31 × 43 × 3643

9,712,238 factors as 2 × 31 × 43 × 3643. Its 16 positive divisors give a proper-divisor sum of 5,680,018, so this integer is deficient. The Collatz stopping time is 269 steps.

Prime Factor Structure

Factorization String 2 × 31 × 43 × 3643

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,392,256

Proper Divisor Sum 5,680,018

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #9712231 ← → #9712259

Radix Representation

Decimal	9712238
Binary	100101000011001001101110 (24 bits)
Octal	0o45031156
Hexadecimal	0x94326E

Divisor Catalog (16)

1 2 31 43 62 86 1,333 2,666 3,643 7,286 112,933 156,649 225,866 313,298 4,856,119 9,712,238

Collatz Trajectory (269 steps to reach 1)

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

9,712,238 4,856,119 14,568,358 7,284,179 21,852,538 10,926,269 32,778,808 16,389,404 8,194,702 4,097,351 12,292,054 6,146,027 18,438,082 9,219,041 27,657,124 13,828,562 6,914,281 20,742,844 10,371,422 5,185,711 15,557,134 7,778,567 23,335,702 11,667,851 35,003,554 17,501,777 52,505,332 26,252,666 13,126,333 39,379,000 19,689,500 9,844,750 4,922,375 14,767,126 7,383,563 22,150,690 11,075,345 33,226,036 16,613,018 8,306,509 24,919,528 12,459,764 6,229,882 3,114,941 9,344,824 4,672,412 2,336,206 1,168,103 3,504,310 1,752,155 5,256,466 2,628,233 7,884,700 3,942,350 1,971,175 5,913,526 2,956,763 8,870,290 4,435,145 13,305,436

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