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Atlas › Integer Profiles › Node 33,200,748

33,200,748

22 × 32 × 7 × 131749
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 131749
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 95,914,000
Proper Divisor Sum 62,713,252
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #33200701 ← → #33200749

Radix Representation

Decimal 33200748
Binary 1111110101001101001101100 (25 bits)
Octal 0o176515154
Hexadecimal 0x1FA9A6C

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 131,749 263,498 395,247 526,996 790,494 922,243 1,185,741 1,580,988 1,844,486 2,371,482 2,766,729 3,688,972 4,742,964 5,533,458 8,300,187 11,066,916 16,600,374 33,200,748

Collatz Trajectory (276 steps to reach 1)

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

33,200,748 16,600,374 8,300,187 24,900,562 12,450,281 37,350,844 18,675,422 9,337,711 28,013,134 14,006,567 42,019,702 21,009,851 63,029,554 31,514,777 94,544,332 47,272,166 23,636,083 70,908,250 35,454,125 106,362,376 53,181,188 26,590,594 13,295,297 39,885,892 19,942,946 9,971,473 29,914,420 14,957,210 7,478,605 22,435,816 11,217,908 5,608,954 2,804,477 8,413,432 4,206,716 2,103,358 1,051,679 3,155,038 1,577,519 4,732,558 2,366,279 7,098,838 3,549,419 10,648,258 5,324,129 15,972,388 7,986,194 3,993,097 11,979,292 5,989,646 2,994,823 8,984,470 4,492,235 13,476,706 6,738,353 20,215,060 10,107,530 5,053,765 15,161,296 7,580,648

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