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Atlas › Integer Profiles › Node 36,233,004

36,233,004

22 × 3 × 23 × 432 × 71
Abundant Even Composite

36,233,004 factors as 2^2 × 3 × 23 × 43^2 × 71. Its 72 positive divisors give a proper-divisor sum of 55,357,908, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 43^2 × 71
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 91,590,912
Proper Divisor Sum 55,357,908
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #36232993 ← → #36233009

Radix Representation

Decimal 36233004
Binary 10001010001101111100101100 (26 bits)
Octal 0o212157454
Hexadecimal 0x228DF2C

Divisor Catalog (60 of 72)

1 2 3 4 6 12 23 43 46 69 71 86 92 129 138 142 172 213 258 276 284 426 516 852 989 1,633 1,849 1,978 2,967 3,053 3,266 3,698 3,956 4,899 5,547 5,934 6,106 6,532 7,396 9,159 9,798 11,094 11,868 12,212 18,318 19,596 22,188 36,636 42,527 70,219 85,054 127,581 131,279 140,438 170,108 210,657 255,162 262,558 280,876 393,837

Collatz Trajectory (90 steps to reach 1)

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

36,233,004 18,116,502 9,058,251 27,174,754 13,587,377 40,762,132 20,381,066 10,190,533 30,571,600 15,285,800 7,642,900 3,821,450 1,910,725 5,732,176 2,866,088 1,433,044 716,522 358,261 1,074,784 537,392 268,696 134,348 67,174 33,587 100,762 50,381 151,144 75,572 37,786 18,893 56,680 28,340 14,170 7,085 21,256 10,628 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066

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