λ
Sigma Notebook

488,613

3 × 271 × 601
Deficient Odd Composite

488,613 is odd and not a perfect square. Its factorization is 3 × 271 × 601 and its 8 divisors sum to 654,976.

Prime Factor Structure

Factorization String 3 × 271 × 601
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 654,976
Proper Divisor Sum 166,363
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #488611 ← → #488617

Radix Representation

Decimal 488613
Binary 1110111010010100101 (19 bits)
Octal 0o1672245
Hexadecimal 0x774A5

Divisor Catalog (8)

1 3 271 601 813 1,803 162,871 488,613

Collatz Trajectory (244 steps to reach 1)

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

488,613 1,465,840 732,920 366,460 183,230 91,615 274,846 137,423 412,270 206,135 618,406 309,203 927,610 463,805 1,391,416 695,708 347,854 173,927 521,782 260,891 782,674 391,337 1,174,012 587,006 293,503 880,510 440,255 1,320,766 660,383 1,981,150 990,575 2,971,726 1,485,863 4,457,590 2,228,795 6,686,386 3,343,193 10,029,580 5,014,790 2,507,395 7,522,186 3,761,093 11,283,280 5,641,640 2,820,820 1,410,410 705,205 2,115,616 1,057,808 528,904 264,452 132,226 66,113 198,340 99,170 49,585 148,756 74,378 37,189 111,568

More profiles

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