λ
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Atlas › Integer Profiles › Node 36,945,909

36,945,909

33 × 7 × 11 × 13 × 1367
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 7 × 11 × 13 × 1367
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 73,543,680
Proper Divisor Sum 36,597,771
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36945907 ← → #36945917

Radix Representation

Decimal 36945909
Binary 10001100111011111111110101 (26 bits)
Octal 0o214737765
Hexadecimal 0x233BFF5

Divisor Catalog (60 of 64)

1 3 7 9 11 13 21 27 33 39 63 77 91 99 117 143 189 231 273 297 351 429 693 819 1,001 1,287 1,367 2,079 2,457 3,003 3,861 4,101 9,009 9,569 12,303 15,037 17,771 27,027 28,707 36,909 45,111 53,313 86,121 105,259 124,397 135,333 159,939 195,481 258,363 315,777 373,191 405,999 479,817 586,443 947,331 1,119,573 1,368,367 1,759,329 2,841,993 3,358,719

Collatz Trajectory (333 steps to reach 1)

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

36,945,909 110,837,728 55,418,864 27,709,432 13,854,716 6,927,358 3,463,679 10,391,038 5,195,519 15,586,558 7,793,279 23,379,838 11,689,919 35,069,758 17,534,879 52,604,638 26,302,319 78,906,958 39,453,479 118,360,438 59,180,219 177,540,658 88,770,329 266,310,988 133,155,494 66,577,747 199,733,242 99,866,621 299,599,864 149,799,932 74,899,966 37,449,983 112,349,950 56,174,975 168,524,926 84,262,463 252,787,390 126,393,695 379,181,086 189,590,543 568,771,630 284,385,815 853,157,446 426,578,723 1,279,736,170 639,868,085 1,919,604,256 959,802,128 479,901,064 239,950,532 119,975,266 59,987,633 179,962,900 89,981,450 44,990,725 134,972,176 67,486,088 33,743,044 16,871,522 8,435,761

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