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Atlas › Integer Profiles › Node 11,601,135

11,601,135

32 × 5 × 7 × 13 × 2833
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 13 × 2833
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,757,824
Proper Divisor Sum 13,156,689
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #11601127 ← → #11601137

Radix Representation

Decimal 11601135
Binary 101100010000010011101111 (24 bits)
Octal 0o54202357
Hexadecimal 0xB104EF

Divisor Catalog (48)

1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1,365 2,833 4,095 8,499 14,165 19,831 25,497 36,829 42,495 59,493 99,155 110,487 127,485 178,479 184,145 257,803 297,465 331,461 552,435 773,409 892,395 1,289,015 1,657,305 2,320,227 3,867,045 11,601,135

Collatz Trajectory (202 steps to reach 1)

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

11,601,135 34,803,406 17,401,703 52,205,110 26,102,555 78,307,666 39,153,833 117,461,500 58,730,750 29,365,375 88,096,126 44,048,063 132,144,190 66,072,095 198,216,286 99,108,143 297,324,430 148,662,215 445,986,646 222,993,323 668,979,970 334,489,985 1,003,469,956 501,734,978 250,867,489 752,602,468 376,301,234 188,150,617 564,451,852 282,225,926 141,112,963 423,338,890 211,669,445 635,008,336 317,504,168 158,752,084 79,376,042 39,688,021 119,064,064 59,532,032 29,766,016 14,883,008 7,441,504 3,720,752 1,860,376 930,188 465,094 232,547 697,642 348,821 1,046,464 523,232 261,616 130,808 65,404 32,702 16,351 49,054 24,527 73,582

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