λ
Math Directory

9,631,577

2161 × 4457
Deficient Odd Composite

9,631,577 factors as 2161 × 4457. Its 4 positive divisors give a proper-divisor sum of 6,619, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2161 × 4457
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,638,196
Proper Divisor Sum 6,619
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9631561 ← → #9631579

Radix Representation

Decimal 9631577
Binary 100100101111011101011001 (24 bits)
Octal 0o44573531
Hexadecimal 0x92F759

Divisor Catalog (4)

1 2,161 4,457 9,631,577

Collatz Trajectory (119 steps to reach 1)

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

9,631,577 28,894,732 14,447,366 7,223,683 21,671,050 10,835,525 32,506,576 16,253,288 8,126,644 4,063,322 2,031,661 6,094,984 3,047,492 1,523,746 761,873 2,285,620 1,142,810 571,405 1,714,216 857,108 428,554 214,277 642,832 321,416 160,708 80,354 40,177 120,532 60,266 30,133 90,400 45,200 22,600 11,300 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192

More profiles

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