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Atlas › Integer Profiles › Node 5,961,945

5,961,945

3 × 5 × 11 × 23 × 1571
Deficient Odd Composite

5,961,945 factors as 3 × 5 × 11 × 23 × 1571. Its 32 positive divisors give a proper-divisor sum of 4,903,719, so this integer is deficient. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 23 × 1571
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,865,664
Proper Divisor Sum 4,903,719
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5961931 ← → #5961971

Radix Representation

Decimal 5961945
Binary 10110101111100011011001 (23 bits)
Octal 0o26574331
Hexadecimal 0x5AF8D9

Divisor Catalog (32)

1 3 5 11 15 23 33 55 69 115 165 253 345 759 1,265 1,571 3,795 4,713 7,855 17,281 23,565 36,133 51,843 86,405 108,399 180,665 259,215 397,463 541,995 1,192,389 1,987,315 5,961,945

Collatz Trajectory (227 steps to reach 1)

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

5,961,945 17,885,836 8,942,918 4,471,459 13,414,378 6,707,189 20,121,568 10,060,784 5,030,392 2,515,196 1,257,598 628,799 1,886,398 943,199 2,829,598 1,414,799 4,244,398 2,122,199 6,366,598 3,183,299 9,549,898 4,774,949 14,324,848 7,162,424 3,581,212 1,790,606 895,303 2,685,910 1,342,955 4,028,866 2,014,433 6,043,300 3,021,650 1,510,825 4,532,476 2,266,238 1,133,119 3,399,358 1,699,679 5,099,038 2,549,519 7,648,558 3,824,279 11,472,838 5,736,419 17,209,258 8,604,629 25,813,888 12,906,944 6,453,472 3,226,736 1,613,368 806,684 403,342 201,671 605,014 302,507 907,522 453,761 1,361,284

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