λ
Math Directory

2,290,157

233 × 9829
Deficient Odd Composite

2,290,157 factors as 233 × 9829. Its 4 positive divisors give a proper-divisor sum of 10,063, so this integer is deficient. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 233 × 9829
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,300,220
Proper Divisor Sum 10,063
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2290153 ← → #2290177

Radix Representation

Decimal 2290157
Binary 1000101111000111101101 (22 bits)
Octal 0o10570755
Hexadecimal 0x22F1ED

Divisor Catalog (4)

1 233 9,829 2,290,157

Collatz Trajectory (130 steps to reach 1)

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

2,290,157 6,870,472 3,435,236 1,717,618 858,809 2,576,428 1,288,214 644,107 1,932,322 966,161 2,898,484 1,449,242 724,621 2,173,864 1,086,932 543,466 271,733 815,200 407,600 203,800 101,900 50,950 25,475 76,426 38,213 114,640 57,320 28,660 14,330 7,165 21,496 10,748 5,374 2,687 8,062 4,031 12,094 6,047 18,142 9,071 27,214 13,607 40,822 20,411 61,234 30,617 91,852 45,926 22,963 68,890 34,445 103,336 51,668 25,834 12,917 38,752 19,376 9,688 4,844 2,422

More profiles

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