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Atlas › Integer Profiles › Node 33,773,488

33,773,488

24 × 7 × 19 × 59 × 269
Abundant Even Composite

33,773,488 factors as 2^4 × 7 × 19 × 59 × 269. Its 80 positive divisors give a proper-divisor sum of 46,578,512, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 19 × 59 × 269
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 80,352,000
Proper Divisor Sum 46,578,512
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #33773473 ← → #33773501

Radix Representation

Decimal 33773488
Binary 10000000110101011110110000 (26 bits)
Octal 0o200653660
Hexadecimal 0x20357B0

Divisor Catalog (60 of 80)

1 2 4 7 8 14 16 19 28 38 56 59 76 112 118 133 152 236 266 269 304 413 472 532 538 826 944 1,064 1,076 1,121 1,652 1,883 2,128 2,152 2,242 3,304 3,766 4,304 4,484 5,111 6,608 7,532 7,847 8,968 10,222 15,064 15,694 15,871 17,936 20,444 30,128 31,388 31,742 35,777 40,888 62,776 63,484 71,554 81,776 111,097

Collatz Trajectory (108 steps to reach 1)

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

33,773,488 16,886,744 8,443,372 4,221,686 2,110,843 6,332,530 3,166,265 9,498,796 4,749,398 2,374,699 7,124,098 3,562,049 10,686,148 5,343,074 2,671,537 8,014,612 4,007,306 2,003,653 6,010,960 3,005,480 1,502,740 751,370 375,685 1,127,056 563,528 281,764 140,882 70,441 211,324 105,662 52,831 158,494 79,247 237,742 118,871 356,614 178,307 534,922 267,461 802,384 401,192 200,596 100,298 50,149 150,448 75,224 37,612 18,806 9,403 28,210 14,105 42,316 21,158 10,579 31,738 15,869 47,608 23,804 11,902 5,951

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