λ
Sigma Notebook

7,216,563

3 × 29 × 109 × 761
Deficient Odd Composite

7,216,563 is odd and not a perfect square. Its factorization is 3 × 29 × 109 × 761 and its 16 divisors sum to 10,058,400.

Prime Factor Structure

Factorization String 3 × 29 × 109 × 761
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,058,400
Proper Divisor Sum 2,841,837
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7216543 ← → #7216567

Radix Representation

Decimal 7216563
Binary 11011100001110110110011 (23 bits)
Octal 0o33416663
Hexadecimal 0x6E1DB3

Divisor Catalog (16)

1 3 29 87 109 327 761 2,283 3,161 9,483 22,069 66,207 82,949 248,847 2,405,521 7,216,563

Collatz Trajectory (235 steps to reach 1)

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

7,216,563 21,649,690 10,824,845 32,474,536 16,237,268 8,118,634 4,059,317 12,177,952 6,088,976 3,044,488 1,522,244 761,122 380,561 1,141,684 570,842 285,421 856,264 428,132 214,066 107,033 321,100 160,550 80,275 240,826 120,413 361,240 180,620 90,310 45,155 135,466 67,733 203,200 101,600 50,800 25,400 12,700 6,350 3,175 9,526 4,763 14,290 7,145 21,436 10,718 5,359 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791

More profiles

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