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Atlas › Integer Profiles › Node 17,537,004

17,537,004

22 × 32 × 167 × 2917
Abundant Even Composite

17,537,004 factors as 2^2 × 3^2 × 167 × 2917. Its 36 positive divisors give a proper-divisor sum of 27,073,380, so this integer is abundant. The Collatz stopping time is 319 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 167 × 2917
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 44,610,384
Proper Divisor Sum 27,073,380
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #17536997 ← → #17537059

Radix Representation

Decimal 17537004
Binary 1000010111001011111101100 (25 bits)
Octal 0o102713754
Hexadecimal 0x10B97EC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 167 334 501 668 1,002 1,503 2,004 2,917 3,006 5,834 6,012 8,751 11,668 17,502 26,253 35,004 52,506 105,012 487,139 974,278 1,461,417 1,948,556 2,922,834 4,384,251 5,845,668 8,768,502 17,537,004

Collatz Trajectory (319 steps to reach 1)

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

17,537,004 8,768,502 4,384,251 13,152,754 6,576,377 19,729,132 9,864,566 4,932,283 14,796,850 7,398,425 22,195,276 11,097,638 5,548,819 16,646,458 8,323,229 24,969,688 12,484,844 6,242,422 3,121,211 9,363,634 4,681,817 14,045,452 7,022,726 3,511,363 10,534,090 5,267,045 15,801,136 7,900,568 3,950,284 1,975,142 987,571 2,962,714 1,481,357 4,444,072 2,222,036 1,111,018 555,509 1,666,528 833,264 416,632 208,316 104,158 52,079 156,238 78,119 234,358 117,179 351,538 175,769 527,308 263,654 131,827 395,482 197,741 593,224 296,612 148,306 74,153 222,460 111,230

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