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Atlas › Integer Profiles › Node 11,601,975

11,601,975

3 × 52 × 73 × 11 × 41
Abundant Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 7^3 × 11 × 41
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 24,998,400
Proper Divisor Sum 13,396,425
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #11601949 ← → #11601977

Radix Representation

Decimal 11601975
Binary 101100010000100000110111 (24 bits)
Octal 0o54204067
Hexadecimal 0xB10837

Divisor Catalog (60 of 96)

1 3 5 7 11 15 21 25 33 35 41 49 55 75 77 105 123 147 165 175 205 231 245 275 287 343 385 451 525 539 615 735 825 861 1,025 1,029 1,155 1,225 1,353 1,435 1,617 1,715 1,925 2,009 2,255 2,695 3,075 3,157 3,675 3,773 4,305 5,145 5,775 6,027 6,765 7,175 8,085 8,575 9,471 10,045

Collatz Trajectory (215 steps to reach 1)

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

11,601,975 34,805,926 17,402,963 52,208,890 26,104,445 78,313,336 39,156,668 19,578,334 9,789,167 29,367,502 14,683,751 44,051,254 22,025,627 66,076,882 33,038,441 99,115,324 49,557,662 24,778,831 74,336,494 37,168,247 111,504,742 55,752,371 167,257,114 83,628,557 250,885,672 125,442,836 62,721,418 31,360,709 94,082,128 47,041,064 23,520,532 11,760,266 5,880,133 17,640,400 8,820,200 4,410,100 2,205,050 1,102,525 3,307,576 1,653,788 826,894 413,447 1,240,342 620,171 1,860,514 930,257 2,790,772 1,395,386 697,693 2,093,080 1,046,540 523,270 261,635 784,906 392,453 1,177,360 588,680 294,340 147,170 73,585

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