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Atlas › Integer Profiles › Node 6,904,404

6,904,404

22 × 32 × 13 × 14753
Abundant Even Composite

6,904,404 factors as 2^2 × 3^2 × 13 × 14753. Its 36 positive divisors give a proper-divisor sum of 11,892,192, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 14753
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 18,796,596
Proper Divisor Sum 11,892,192
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6904379 ← → #6904421

Radix Representation

Decimal 6904404
Binary 11010010101101001010100 (23 bits)
Octal 0o32255124
Hexadecimal 0x695A54

Divisor Catalog (36)

1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 14,753 29,506 44,259 59,012 88,518 132,777 177,036 191,789 265,554 383,578 531,108 575,367 767,156 1,150,734 1,726,101 2,301,468 3,452,202 6,904,404

Collatz Trajectory (191 steps to reach 1)

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

6,904,404 3,452,202 1,726,101 5,178,304 2,589,152 1,294,576 647,288 323,644 161,822 80,911 242,734 121,367 364,102 182,051 546,154 273,077 819,232 409,616 204,808 102,404 51,202 25,601 76,804 38,402 19,201 57,604 28,802 14,401 43,204 21,602 10,801 32,404 16,202 8,101 24,304 12,152 6,076 3,038 1,519 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306

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