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Atlas › Integer Profiles › Node 11,601,711

11,601,711

34 × 11 × 29 × 449
Deficient Odd Composite

11,601,711 factors as 3^4 × 11 × 29 × 449. Its 40 positive divisors give a proper-divisor sum of 8,000,289, so this integer is deficient. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 3^4 × 11 × 29 × 449
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 19,602,000
Proper Divisor Sum 8,000,289
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #11601679 ← → #11601721

Radix Representation

Decimal 11601711
Binary 101100010000011100101111 (24 bits)
Octal 0o54203457
Hexadecimal 0xB1072F

Divisor Catalog (40)

1 3 9 11 27 29 33 81 87 99 261 297 319 449 783 891 957 1,347 2,349 2,871 4,041 4,939 8,613 12,123 13,021 14,817 25,839 36,369 39,063 44,451 117,189 133,353 143,231 351,567 400,059 429,693 1,054,701 1,289,079 3,867,237 11,601,711

Collatz Trajectory (122 steps to reach 1)

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

11,601,711 34,805,134 17,402,567 52,207,702 26,103,851 78,311,554 39,155,777 117,467,332 58,733,666 29,366,833 88,100,500 44,050,250 22,025,125 66,075,376 33,037,688 16,518,844 8,259,422 4,129,711 12,389,134 6,194,567 18,583,702 9,291,851 27,875,554 13,937,777 41,813,332 20,906,666 10,453,333 31,360,000 15,680,000 7,840,000 3,920,000 1,960,000 980,000 490,000 245,000 122,500 61,250 30,625 91,876 45,938 22,969 68,908 34,454 17,227 51,682 25,841 77,524 38,762 19,381 58,144 29,072 14,536 7,268 3,634 1,817 5,452 2,726 1,363 4,090 2,045

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