λ
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Atlas › Integer Profiles › Node 33,300,148

33,300,148

22 × 7 × 37 × 32143
Abundant Even Composite

33,300,148 factors as 2^2 × 7 × 37 × 32143. Its 24 positive divisors give a proper-divisor sum of 35,102,284, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 37 × 32143
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 68,402,432
Proper Divisor Sum 35,102,284
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #33300143 ← → #33300167

Radix Representation

Decimal 33300148
Binary 1111111000001111010110100 (25 bits)
Octal 0o177017264
Hexadecimal 0x1FC1EB4

Divisor Catalog (24)

1 2 4 7 14 28 37 74 148 259 518 1,036 32,143 64,286 128,572 225,001 450,002 900,004 1,189,291 2,378,582 4,757,164 8,325,037 16,650,074 33,300,148

Collatz Trajectory (201 steps to reach 1)

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

33,300,148 16,650,074 8,325,037 24,975,112 12,487,556 6,243,778 3,121,889 9,365,668 4,682,834 2,341,417 7,024,252 3,512,126 1,756,063 5,268,190 2,634,095 7,902,286 3,951,143 11,853,430 5,926,715 17,780,146 8,890,073 26,670,220 13,335,110 6,667,555 20,002,666 10,001,333 30,004,000 15,002,000 7,501,000 3,750,500 1,875,250 937,625 2,812,876 1,406,438 703,219 2,109,658 1,054,829 3,164,488 1,582,244 791,122 395,561 1,186,684 593,342 296,671 890,014 445,007 1,335,022 667,511 2,002,534 1,001,267 3,003,802 1,501,901 4,505,704 2,252,852 1,126,426 563,213 1,689,640 844,820 422,410 211,205

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