λ
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Atlas › Integer Profiles › Node 11,041,245

11,041,245

33 × 5 × 172 × 283
Deficient Odd Composite

11,041,245 factors as 3^3 × 5 × 17^2 × 283. Its 48 positive divisors give a proper-divisor sum of 9,883,875, so this integer is deficient. The Collatz stopping time is 202 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 17^2 × 283
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,925,120
Proper Divisor Sum 9,883,875
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #11041237 ← → #11041249

Radix Representation

Decimal 11041245
Binary 101010000111100111011101 (24 bits)
Octal 0o52074735
Hexadecimal 0xA879DD

Divisor Catalog (48)

1 3 5 9 15 17 27 45 51 85 135 153 255 283 289 459 765 849 867 1,415 1,445 2,295 2,547 2,601 4,245 4,335 4,811 7,641 7,803 12,735 13,005 14,433 24,055 38,205 39,015 43,299 72,165 81,787 129,897 216,495 245,361 408,935 649,485 736,083 1,226,805 2,208,249 3,680,415 11,041,245

Collatz Trajectory (202 steps to reach 1)

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

11,041,245 33,123,736 16,561,868 8,280,934 4,140,467 12,421,402 6,210,701 18,632,104 9,316,052 4,658,026 2,329,013 6,987,040 3,493,520 1,746,760 873,380 436,690 218,345 655,036 327,518 163,759 491,278 245,639 736,918 368,459 1,105,378 552,689 1,658,068 829,034 414,517 1,243,552 621,776 310,888 155,444 77,722 38,861 116,584 58,292 29,146 14,573 43,720 21,860 10,930 5,465 16,396 8,198 4,099 12,298 6,149 18,448 9,224 4,612 2,306 1,153 3,460 1,730 865 2,596 1,298 649 1,948

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