λ
Sigma Notebook

7,220,455

5 × 11 × 53 × 2477
Deficient Odd Composite

7,220,455 is odd and not a perfect square. Its factorization is 5 × 11 × 53 × 2477 and its 16 divisors sum to 9,634,464.

Prime Factor Structure

Factorization String 5 × 11 × 53 × 2477
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,634,464
Proper Divisor Sum 2,414,009
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7220453 ← → #7220483

Radix Representation

Decimal 7220455
Binary 11011100010110011100111 (23 bits)
Octal 0o33426347
Hexadecimal 0x6E2CE7

Divisor Catalog (16)

1 5 11 53 55 265 583 2,477 2,915 12,385 27,247 131,281 136,235 656,405 1,444,091 7,220,455

Collatz Trajectory (204 steps to reach 1)

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

7,220,455 21,661,366 10,830,683 32,492,050 16,246,025 48,738,076 24,369,038 12,184,519 36,553,558 18,276,779 54,830,338 27,415,169 82,245,508 41,122,754 20,561,377 61,684,132 30,842,066 15,421,033 46,263,100 23,131,550 11,565,775 34,697,326 17,348,663 52,045,990 26,022,995 78,068,986 39,034,493 117,103,480 58,551,740 29,275,870 14,637,935 43,913,806 21,956,903 65,870,710 32,935,355 98,806,066 49,403,033 148,209,100 74,104,550 37,052,275 111,156,826 55,578,413 166,735,240 83,367,620 41,683,810 20,841,905 62,525,716 31,262,858 15,631,429 46,894,288 23,447,144 11,723,572 5,861,786 2,930,893 8,792,680 4,396,340 2,198,170 1,099,085 3,297,256 1,648,628

More profiles

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