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Atlas › Integer Profiles › Node 11,645,361

11,645,361

32 × 7 × 13 × 59 × 241
Deficient Odd Composite

11,645,361 factors as 3^2 × 7 × 13 × 59 × 241. Its 48 positive divisors give a proper-divisor sum of 9,495,759, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 13 × 59 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,141,120
Proper Divisor Sum 9,495,759
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #11645351 ← → #11645363

Radix Representation

Decimal 11645361
Binary 101100011011000110110001 (24 bits)
Octal 0o54330661
Hexadecimal 0xB1B1B1

Divisor Catalog (48)

1 3 7 9 13 21 39 59 63 91 117 177 241 273 413 531 723 767 819 1,239 1,687 2,169 2,301 3,133 3,717 5,061 5,369 6,903 9,399 14,219 15,183 16,107 21,931 28,197 42,657 48,321 65,793 99,533 127,971 184,847 197,379 298,599 554,541 895,797 1,293,929 1,663,623 3,881,787 11,645,361

Collatz Trajectory (140 steps to reach 1)

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

11,645,361 34,936,084 17,468,042 8,734,021 26,202,064 13,101,032 6,550,516 3,275,258 1,637,629 4,912,888 2,456,444 1,228,222 614,111 1,842,334 921,167 2,763,502 1,381,751 4,145,254 2,072,627 6,217,882 3,108,941 9,326,824 4,663,412 2,331,706 1,165,853 3,497,560 1,748,780 874,390 437,195 1,311,586 655,793 1,967,380 983,690 491,845 1,475,536 737,768 368,884 184,442 92,221 276,664 138,332 69,166 34,583 103,750 51,875 155,626 77,813 233,440 116,720 58,360 29,180 14,590 7,295 21,886 10,943 32,830 16,415 49,246 24,623 73,870

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