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Atlas › Integer Profiles › Node 17,534,232

17,534,232

23 × 34 × 27059
Abundant Even Composite

17,534,232 factors as 2^3 × 3^4 × 27059. Its 40 positive divisors give a proper-divisor sum of 31,579,668, so this integer is abundant. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2^3 × 3^4 × 27059
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 49,113,900
Proper Divisor Sum 31,579,668
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #17534213 ← → #17534233

Radix Representation

Decimal 17534232
Binary 1000010111000110100011000 (25 bits)
Octal 0o102706430
Hexadecimal 0x10B8D18

Divisor Catalog (40)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 27,059 54,118 81,177 108,236 162,354 216,472 243,531 324,708 487,062 649,416 730,593 974,124 1,461,186 1,948,248 2,191,779 2,922,372 4,383,558 5,844,744 8,767,116 17,534,232

Collatz Trajectory (174 steps to reach 1)

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

17,534,232 8,767,116 4,383,558 2,191,779 6,575,338 3,287,669 9,863,008 4,931,504 2,465,752 1,232,876 616,438 308,219 924,658 462,329 1,386,988 693,494 346,747 1,040,242 520,121 1,560,364 780,182 390,091 1,170,274 585,137 1,755,412 877,706 438,853 1,316,560 658,280 329,140 164,570 82,285 246,856 123,428 61,714 30,857 92,572 46,286 23,143 69,430 34,715 104,146 52,073 156,220 78,110 39,055 117,166 58,583 175,750 87,875 263,626 131,813 395,440 197,720 98,860 49,430 24,715 74,146 37,073 111,220

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