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Atlas › Integer Profiles › Node 5,979,735

5,979,735

32 × 5 × 83 × 1601
Deficient Odd Composite

5,979,735 factors as 3^2 × 5 × 83 × 1601. Its 24 positive divisors give a proper-divisor sum of 4,516,569, so this integer is deficient. The Collatz stopping time is 289 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 83 × 1601
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,496,304
Proper Divisor Sum 4,516,569
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #5979731 ← → #5979749

Radix Representation

Decimal 5979735
Binary 10110110011111001010111 (23 bits)
Octal 0o26637127
Hexadecimal 0x5B3E57

Divisor Catalog (24)

1 3 5 9 15 45 83 249 415 747 1,245 1,601 3,735 4,803 8,005 14,409 24,015 72,045 132,883 398,649 664,415 1,195,947 1,993,245 5,979,735

Collatz Trajectory (289 steps to reach 1)

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

5,979,735 17,939,206 8,969,603 26,908,810 13,454,405 40,363,216 20,181,608 10,090,804 5,045,402 2,522,701 7,568,104 3,784,052 1,892,026 946,013 2,838,040 1,419,020 709,510 354,755 1,064,266 532,133 1,596,400 798,200 399,100 199,550 99,775 299,326 149,663 448,990 224,495 673,486 336,743 1,010,230 505,115 1,515,346 757,673 2,273,020 1,136,510 568,255 1,704,766 852,383 2,557,150 1,278,575 3,835,726 1,917,863 5,753,590 2,876,795 8,630,386 4,315,193 12,945,580 6,472,790 3,236,395 9,709,186 4,854,593 14,563,780 7,281,890 3,640,945 10,922,836 5,461,418 2,730,709 8,192,128

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