9,706,813

17 × 31 × 113 × 163

9,706,813 factors as 17 × 31 × 113 × 163. Its 16 positive divisors give a proper-divisor sum of 1,062,083, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 17 × 31 × 113 × 163

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,768,896

Proper Divisor Sum 1,062,083

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9706799 ← → #9706831

Radix Representation

Decimal	9706813
Binary	100101000001110100111101 (24 bits)
Octal	0o45016475
Hexadecimal	0x941D3D

Divisor Catalog (16)

1 17 31 113 163 527 1,921 2,771 3,503 5,053 18,419 59,551 85,901 313,123 570,989 9,706,813

Collatz Trajectory (207 steps to reach 1)

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

9,706,813 29,120,440 14,560,220 7,280,110 3,640,055 10,920,166 5,460,083 16,380,250 8,190,125 24,570,376 12,285,188 6,142,594 3,071,297 9,213,892 4,606,946 2,303,473 6,910,420 3,455,210 1,727,605 5,182,816 2,591,408 1,295,704 647,852 323,926 161,963 485,890 242,945 728,836 364,418 182,209 546,628 273,314 136,657 409,972 204,986 102,493 307,480 153,740 76,870 38,435 115,306 57,653 172,960 86,480 43,240 21,620 10,810 5,405 16,216 8,108 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711

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