9,700,263

3³ × 277 × 1297

9,700,263 factors as 3^3 × 277 × 1297. Its 16 positive divisors give a proper-divisor sum of 4,733,497, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 3^3 × 277 × 1297

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,433,760

Proper Divisor Sum 4,733,497

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9700247 ← → #9700289

Radix Representation

Decimal	9700263
Binary	100101000000001110100111 (24 bits)
Octal	0o45001647
Hexadecimal	0x9403A7

Divisor Catalog (16)

1 3 9 27 277 831 1,297 2,493 3,891 7,479 11,673 35,019 359,269 1,077,807 3,233,421 9,700,263

Collatz Trajectory (207 steps to reach 1)

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

9,700,263 29,100,790 14,550,395 43,651,186 21,825,593 65,476,780 32,738,390 16,369,195 49,107,586 24,553,793 73,661,380 36,830,690 18,415,345 55,246,036 27,623,018 13,811,509 41,434,528 20,717,264 10,358,632 5,179,316 2,589,658 1,294,829 3,884,488 1,942,244 971,122 485,561 1,456,684 728,342 364,171 1,092,514 546,257 1,638,772 819,386 409,693 1,229,080 614,540 307,270 153,635 460,906 230,453 691,360 345,680 172,840 86,420 43,210 21,605 64,816 32,408 16,204 8,102 4,051 12,154 6,077 18,232 9,116 4,558 2,279 6,838 3,419 10,258

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