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Atlas › Integer Profiles › Node 11,611,435

11,611,435

5 × 11 × 23 × 67 × 137
Deficient Odd Composite

11,611,435 factors as 5 × 11 × 23 × 67 × 137. Its 32 positive divisors give a proper-divisor sum of 4,604,117, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 5 × 11 × 23 × 67 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,215,552
Proper Divisor Sum 4,604,117
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #11611433 ← → #11611441

Radix Representation

Decimal 11611435
Binary 101100010010110100101011 (24 bits)
Octal 0o54226453
Hexadecimal 0xB12D2B

Divisor Catalog (32)

1 5 11 23 55 67 115 137 253 335 685 737 1,265 1,507 1,541 3,151 3,685 7,535 7,705 9,179 15,755 16,951 34,661 45,895 84,755 100,969 173,305 211,117 504,845 1,055,585 2,322,287 11,611,435

Collatz Trajectory (184 steps to reach 1)

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

11,611,435 34,834,306 17,417,153 52,251,460 26,125,730 13,062,865 39,188,596 19,594,298 9,797,149 29,391,448 14,695,724 7,347,862 3,673,931 11,021,794 5,510,897 16,532,692 8,266,346 4,133,173 12,399,520 6,199,760 3,099,880 1,549,940 774,970 387,485 1,162,456 581,228 290,614 145,307 435,922 217,961 653,884 326,942 163,471 490,414 245,207 735,622 367,811 1,103,434 551,717 1,655,152 827,576 413,788 206,894 103,447 310,342 155,171 465,514 232,757 698,272 349,136 174,568 87,284 43,642 21,821 65,464 32,732 16,366 8,183 24,550 12,275

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