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Atlas › Integer Profiles › Node 11,457,765

11,457,765

32 × 5 × 11 × 79 × 293
Deficient Odd Composite

11,457,765 factors as 3^2 × 5 × 11 × 79 × 293. Its 48 positive divisors give a proper-divisor sum of 10,556,955, so this integer is deficient. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 11 × 79 × 293
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,014,720
Proper Divisor Sum 10,556,955
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #11457751 ← → #11457769

Radix Representation

Decimal 11457765
Binary 101011101101010011100101 (24 bits)
Octal 0o53552345
Hexadecimal 0xAED4E5

Divisor Catalog (48)

1 3 5 9 11 15 33 45 55 79 99 165 237 293 395 495 711 869 879 1,185 1,465 2,607 2,637 3,223 3,555 4,345 4,395 7,821 9,669 13,035 13,185 16,115 23,147 29,007 39,105 48,345 69,441 115,735 145,035 208,323 254,617 347,205 763,851 1,041,615 1,273,085 2,291,553 3,819,255 11,457,765

Collatz Trajectory (215 steps to reach 1)

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

11,457,765 34,373,296 17,186,648 8,593,324 4,296,662 2,148,331 6,444,994 3,222,497 9,667,492 4,833,746 2,416,873 7,250,620 3,625,310 1,812,655 5,437,966 2,718,983 8,156,950 4,078,475 12,235,426 6,117,713 18,353,140 9,176,570 4,588,285 13,764,856 6,882,428 3,441,214 1,720,607 5,161,822 2,580,911 7,742,734 3,871,367 11,614,102 5,807,051 17,421,154 8,710,577 26,131,732 13,065,866 6,532,933 19,598,800 9,799,400 4,899,700 2,449,850 1,224,925 3,674,776 1,837,388 918,694 459,347 1,378,042 689,021 2,067,064 1,033,532 516,766 258,383 775,150 387,575 1,162,726 581,363 1,744,090 872,045 2,616,136

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