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Atlas › Integer Profiles › Node 45,274,281

45,274,281

3 × 13 × 17 × 23 × 2969
Deficient Odd Composite

45,274,281 factors as 3 × 13 × 17 × 23 × 2969. Its 32 positive divisors give a proper-divisor sum of 26,575,959, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 3 × 13 × 17 × 23 × 2969
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 71,850,240
Proper Divisor Sum 26,575,959
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #45274267 ← → #45274289

Radix Representation

Decimal 45274281
Binary 10101100101101010010101001 (26 bits)
Octal 0o254552251
Hexadecimal 0x2B2D4A9

Divisor Catalog (32)

1 3 13 17 23 39 51 69 221 299 391 663 897 1,173 2,969 5,083 8,907 15,249 38,597 50,473 68,287 115,791 151,419 204,861 656,149 887,731 1,160,879 1,968,447 2,663,193 3,482,637 15,091,427 45,274,281

Collatz Trajectory (111 steps to reach 1)

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

45,274,281 135,822,844 67,911,422 33,955,711 101,867,134 50,933,567 152,800,702 76,400,351 229,201,054 114,600,527 343,801,582 171,900,791 515,702,374 257,851,187 773,553,562 386,776,781 1,160,330,344 580,165,172 290,082,586 145,041,293 435,123,880 217,561,940 108,780,970 54,390,485 163,171,456 81,585,728 40,792,864 20,396,432 10,198,216 5,099,108 2,549,554 1,274,777 3,824,332 1,912,166 956,083 2,868,250 1,434,125 4,302,376 2,151,188 1,075,594 537,797 1,613,392 806,696 403,348 201,674 100,837 302,512 151,256 75,628 37,814 18,907 56,722 28,361 85,084 42,542 21,271 63,814 31,907 95,722 47,861

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