λ
Ratio Atlas

2,300,709

3 × 149 × 5147
Deficient Odd Composite

2,300,709 factors as 3 × 149 × 5147. Its 8 positive divisors give a proper-divisor sum of 788,091, so this integer is deficient. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 3 × 149 × 5147
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,088,800
Proper Divisor Sum 788,091
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2300707 ← → #2300719

Radix Representation

Decimal 2300709
Binary 1000110001101100100101 (22 bits)
Octal 0o10615445
Hexadecimal 0x231B25

Divisor Catalog (8)

1 3 149 447 5,147 15,441 766,903 2,300,709

Collatz Trajectory (99 steps to reach 1)

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

2,300,709 6,902,128 3,451,064 1,725,532 862,766 431,383 1,294,150 647,075 1,941,226 970,613 2,911,840 1,455,920 727,960 363,980 181,990 90,995 272,986 136,493 409,480 204,740 102,370 51,185 153,556 76,778 38,389 115,168 57,584 28,792 14,396 7,198 3,599 10,798 5,399 16,198 8,099 24,298 12,149 36,448 18,224 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407

More profiles

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