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Atlas › Integer Profiles › Node 11,601,117

11,601,117

33 × 112 × 53 × 67
Deficient Odd Composite

11,601,117 factors as 3^3 × 11^2 × 53 × 67. Its 48 positive divisors give a proper-divisor sum of 7,933,923, so this integer is deficient. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 3^3 × 11^2 × 53 × 67
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,535,040
Proper Divisor Sum 7,933,923
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #11601113 ← → #11601119

Radix Representation

Decimal 11601117
Binary 101100010000010011011101 (24 bits)
Octal 0o54202335
Hexadecimal 0xB104DD

Divisor Catalog (48)

1 3 9 11 27 33 53 67 99 121 159 201 297 363 477 583 603 737 1,089 1,431 1,749 1,809 2,211 3,267 3,551 5,247 6,413 6,633 8,107 10,653 15,741 19,239 19,899 24,321 31,959 39,061 57,717 72,963 95,877 117,183 173,151 218,889 351,549 429,671 1,054,647 1,289,013 3,867,039 11,601,117

Collatz Trajectory (153 steps to reach 1)

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

11,601,117 34,803,352 17,401,676 8,700,838 4,350,419 13,051,258 6,525,629 19,576,888 9,788,444 4,894,222 2,447,111 7,341,334 3,670,667 11,012,002 5,506,001 16,518,004 8,259,002 4,129,501 12,388,504 6,194,252 3,097,126 1,548,563 4,645,690 2,322,845 6,968,536 3,484,268 1,742,134 871,067 2,613,202 1,306,601 3,919,804 1,959,902 979,951 2,939,854 1,469,927 4,409,782 2,204,891 6,614,674 3,307,337 9,922,012 4,961,006 2,480,503 7,441,510 3,720,755 11,162,266 5,581,133 16,743,400 8,371,700 4,185,850 2,092,925 6,278,776 3,139,388 1,569,694 784,847 2,354,542 1,177,271 3,531,814 1,765,907 5,297,722 2,648,861

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