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Atlas › Integer Profiles › Node 36,945,975

36,945,975

3 × 52 × 11 × 19 × 2357
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 11 × 19 × 2357
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 70,174,080
Proper Divisor Sum 33,228,105
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #36945973 ← → #36945991

Radix Representation

Decimal 36945975
Binary 10001100111100000000110111 (26 bits)
Octal 0o214740067
Hexadecimal 0x233C037

Divisor Catalog (48)

1 3 5 11 15 19 25 33 55 57 75 95 165 209 275 285 475 627 825 1,045 1,425 2,357 3,135 5,225 7,071 11,785 15,675 25,927 35,355 44,783 58,925 77,781 129,635 134,349 176,775 223,915 388,905 492,613 648,175 671,745 1,119,575 1,477,839 1,944,525 2,463,065 3,358,725 7,389,195 12,315,325 36,945,975

Collatz Trajectory (188 steps to reach 1)

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

36,945,975 110,837,926 55,418,963 166,256,890 83,128,445 249,385,336 124,692,668 62,346,334 31,173,167 93,519,502 46,759,751 140,279,254 70,139,627 210,418,882 105,209,441 315,628,324 157,814,162 78,907,081 236,721,244 118,360,622 59,180,311 177,540,934 88,770,467 266,311,402 133,155,701 399,467,104 199,733,552 99,866,776 49,933,388 24,966,694 12,483,347 37,450,042 18,725,021 56,175,064 28,087,532 14,043,766 7,021,883 21,065,650 10,532,825 31,598,476 15,799,238 7,899,619 23,698,858 11,849,429 35,548,288 17,774,144 8,887,072 4,443,536 2,221,768 1,110,884 555,442 277,721 833,164 416,582 208,291 624,874 312,437 937,312 468,656 234,328

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