λ
Ratio Atlas

2,181,153

3 × 13 × 55927
Deficient Odd Composite

2,181,153 factors as 3 × 13 × 55927. Its 8 positive divisors give a proper-divisor sum of 950,815, so this integer is deficient. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 3 × 13 × 55927
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,131,968
Proper Divisor Sum 950,815
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2181149 ← → #2181161

Radix Representation

Decimal 2181153
Binary 1000010100100000100001 (22 bits)
Octal 0o10244041
Hexadecimal 0x214821

Divisor Catalog (8)

1 3 13 39 55,927 167,781 727,051 2,181,153

Collatz Trajectory (148 steps to reach 1)

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

2,181,153 6,543,460 3,271,730 1,635,865 4,907,596 2,453,798 1,226,899 3,680,698 1,840,349 5,521,048 2,760,524 1,380,262 690,131 2,070,394 1,035,197 3,105,592 1,552,796 776,398 388,199 1,164,598 582,299 1,746,898 873,449 2,620,348 1,310,174 655,087 1,965,262 982,631 2,947,894 1,473,947 4,421,842 2,210,921 6,632,764 3,316,382 1,658,191 4,974,574 2,487,287 7,461,862 3,730,931 11,192,794 5,596,397 16,789,192 8,394,596 4,197,298 2,098,649 6,295,948 3,147,974 1,573,987 4,721,962 2,360,981 7,082,944 3,541,472 1,770,736 885,368 442,684 221,342 110,671 332,014 166,007 498,022

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