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Atlas › Integer Profiles › Node 17,569,804

17,569,804

22 × 7 × 97 × 6469
Abundant Even Composite

17,569,804 factors as 2^2 × 7 × 97 × 6469. Its 24 positive divisors give a proper-divisor sum of 17,937,556, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 97 × 6469
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 35,507,360
Proper Divisor Sum 17,937,556
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #17569793 ← → #17569807

Radix Representation

Decimal 17569804
Binary 1000011000001100000001100 (25 bits)
Octal 0o103014014
Hexadecimal 0x10C180C

Divisor Catalog (24)

1 2 4 7 14 28 97 194 388 679 1,358 2,716 6,469 12,938 25,876 45,283 90,566 181,132 627,493 1,254,986 2,509,972 4,392,451 8,784,902 17,569,804

Collatz Trajectory (182 steps to reach 1)

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

17,569,804 8,784,902 4,392,451 13,177,354 6,588,677 19,766,032 9,883,016 4,941,508 2,470,754 1,235,377 3,706,132 1,853,066 926,533 2,779,600 1,389,800 694,900 347,450 173,725 521,176 260,588 130,294 65,147 195,442 97,721 293,164 146,582 73,291 219,874 109,937 329,812 164,906 82,453 247,360 123,680 61,840 30,920 15,460 7,730 3,865 11,596 5,798 2,899 8,698 4,349 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098

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