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Atlas › Integer Profiles › Node 17,830,263

17,830,263

3 × 11 × 17 × 37 × 859
Deficient Odd Composite

17,830,263 factors as 3 × 11 × 17 × 37 × 859. Its 32 positive divisors give a proper-divisor sum of 10,405,257, so this integer is deficient. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 3 × 11 × 17 × 37 × 859
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 28,235,520
Proper Divisor Sum 10,405,257
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #17830261 ← → #17830277

Radix Representation

Decimal 17830263
Binary 1000100000001000101110111 (25 bits)
Octal 0o104010567
Hexadecimal 0x1101177

Divisor Catalog (32)

1 3 11 17 33 37 51 111 187 407 561 629 859 1,221 1,887 2,577 6,919 9,449 14,603 20,757 28,347 31,783 43,809 95,349 160,633 349,613 481,899 540,311 1,048,839 1,620,933 5,943,421 17,830,263

Collatz Trajectory (182 steps to reach 1)

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

17,830,263 53,490,790 26,745,395 80,236,186 40,118,093 120,354,280 60,177,140 30,088,570 15,044,285 45,132,856 22,566,428 11,283,214 5,641,607 16,924,822 8,462,411 25,387,234 12,693,617 38,080,852 19,040,426 9,520,213 28,560,640 14,280,320 7,140,160 3,570,080 1,785,040 892,520 446,260 223,130 111,565 334,696 167,348 83,674 41,837 125,512 62,756 31,378 15,689 47,068 23,534 11,767 35,302 17,651 52,954 26,477 79,432 39,716 19,858 9,929 29,788 14,894 7,447 22,342 11,171 33,514 16,757 50,272 25,136 12,568 6,284 3,142

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