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Atlas › Integer Profiles › Node 36,033,012

36,033,012

22 × 38 × 1373
Abundant Even Composite

36,033,012 factors as 2^2 × 3^8 × 1373. Its 54 positive divisors give a proper-divisor sum of 58,617,726, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^2 × 3^8 × 1373
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 94,650,738
Proper Divisor Sum 58,617,726
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #36033001 ← → #36033029

Radix Representation

Decimal 36033012
Binary 10001001011101000111110100 (26 bits)
Octal 0o211350764
Hexadecimal 0x225D1F4

Divisor Catalog (54)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1,373 1,458 2,187 2,746 2,916 4,119 4,374 5,492 6,561 8,238 8,748 12,357 13,122 16,476 24,714 26,244 37,071 49,428 74,142 111,213 148,284 222,426 333,639 444,852 667,278 1,000,917 1,334,556 2,001,834 3,002,751 4,003,668 6,005,502 9,008,253 12,011,004 18,016,506 36,033,012

Collatz Trajectory (90 steps to reach 1)

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

36,033,012 18,016,506 9,008,253 27,024,760 13,512,380 6,756,190 3,378,095 10,134,286 5,067,143 15,201,430 7,600,715 22,802,146 11,401,073 34,203,220 17,101,610 8,550,805 25,652,416 12,826,208 6,413,104 3,206,552 1,603,276 801,638 400,819 1,202,458 601,229 1,803,688 901,844 450,922 225,461 676,384 338,192 169,096 84,548 42,274 21,137 63,412 31,706 15,853 47,560 23,780 11,890 5,945 17,836 8,918 4,459 13,378 6,689 20,068 10,034 5,017 15,052 7,526 3,763 11,290 5,645 16,936 8,468 4,234 2,117 6,352

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