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Atlas › Integer Profiles › Node 33,763,156

33,763,156

22 × 72 × 17 × 10133
Abundant Even Composite

33,763,156 factors as 2^2 × 7^2 × 17 × 10133. Its 36 positive divisors give a proper-divisor sum of 39,019,232, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 17 × 10133
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 72,782,388
Proper Divisor Sum 39,019,232
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #33763153 ← → #33763181

Radix Representation

Decimal 33763156
Binary 10000000110010111101010100 (26 bits)
Octal 0o200627524
Hexadecimal 0x2032F54

Divisor Catalog (36)

1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 1,666 3,332 10,133 20,266 40,532 70,931 141,862 172,261 283,724 344,522 496,517 689,044 993,034 1,205,827 1,986,068 2,411,654 4,823,308 8,440,789 16,881,578 33,763,156

Collatz Trajectory (170 steps to reach 1)

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

33,763,156 16,881,578 8,440,789 25,322,368 12,661,184 6,330,592 3,165,296 1,582,648 791,324 395,662 197,831 593,494 296,747 890,242 445,121 1,335,364 667,682 333,841 1,001,524 500,762 250,381 751,144 375,572 187,786 93,893 281,680 140,840 70,420 35,210 17,605 52,816 26,408 13,204 6,602 3,301 9,904 4,952 2,476 1,238 619 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166

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