λ
Ratio Atlas
Atlas › Integer Profiles › Node 33,242,550

33,242,550

2 × 3 × 52 × 11 × 20147
Abundant Even Composite

33,242,550 factors as 2 × 3 × 5^2 × 11 × 20147. Its 48 positive divisors give a proper-divisor sum of 56,698,122, so this integer is abundant. The Collatz stopping time is 232 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 11 × 20147
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 89,940,672
Proper Divisor Sum 56,698,122
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #33242549 ← → #33242551

Radix Representation

Decimal 33242550
Binary 1111110110011110110110110 (25 bits)
Octal 0o176636666
Hexadecimal 0x1FB3DB6

Divisor Catalog (48)

1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1,650 20,147 40,294 60,441 100,735 120,882 201,470 221,617 302,205 443,234 503,675 604,410 664,851 1,007,350 1,108,085 1,329,702 1,511,025 2,216,170 3,022,050 3,324,255 5,540,425 6,648,510 11,080,850 16,621,275 33,242,550

Collatz Trajectory (232 steps to reach 1)

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

33,242,550 16,621,275 49,863,826 24,931,913 74,795,740 37,397,870 18,698,935 56,096,806 28,048,403 84,145,210 42,072,605 126,217,816 63,108,908 31,554,454 15,777,227 47,331,682 23,665,841 70,997,524 35,498,762 17,749,381 53,248,144 26,624,072 13,312,036 6,656,018 3,328,009 9,984,028 4,992,014 2,496,007 7,488,022 3,744,011 11,232,034 5,616,017 16,848,052 8,424,026 4,212,013 12,636,040 6,318,020 3,159,010 1,579,505 4,738,516 2,369,258 1,184,629 3,553,888 1,776,944 888,472 444,236 222,118 111,059 333,178 166,589 499,768 249,884 124,942 62,471 187,414 93,707 281,122 140,561 421,684 210,842

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #33,242,549 Browse Full Index Next Integer #33,242,551 →