λ
Ratio Atlas
Atlas › Integer Profiles › Node 11,263,180

11,263,180

22 × 5 × 17 × 157 × 211
Abundant Even Composite

11,263,180 factors as 2^2 × 5 × 17 × 157 × 211. Its 48 positive divisors give a proper-divisor sum of 14,059,796, so this integer is abundant. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 157 × 211
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,322,976
Proper Divisor Sum 14,059,796
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #11263177 ← → #11263193

Radix Representation

Decimal 11263180
Binary 101010111101110011001100 (24 bits)
Octal 0o52756314
Hexadecimal 0xABDCCC

Divisor Catalog (48)

1 2 4 5 10 17 20 34 68 85 157 170 211 314 340 422 628 785 844 1,055 1,570 2,110 2,669 3,140 3,587 4,220 5,338 7,174 10,676 13,345 14,348 17,935 26,690 33,127 35,870 53,380 66,254 71,740 132,508 165,635 331,270 563,159 662,540 1,126,318 2,252,636 2,815,795 5,631,590 11,263,180

Collatz Trajectory (109 steps to reach 1)

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

11,263,180 5,631,590 2,815,795 8,447,386 4,223,693 12,671,080 6,335,540 3,167,770 1,583,885 4,751,656 2,375,828 1,187,914 593,957 1,781,872 890,936 445,468 222,734 111,367 334,102 167,051 501,154 250,577 751,732 375,866 187,933 563,800 281,900 140,950 70,475 211,426 105,713 317,140 158,570 79,285 237,856 118,928 59,464 29,732 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #11,263,179 Browse Full Index Next Integer #11,263,181 →