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Atlas › Integer Profiles › Node 1,794,184

1,794,184

23 × 72 × 23 × 199
Abundant Even Composite

1,794,184 factors as 2^3 × 7^2 × 23 × 199. Its 48 positive divisors give a proper-divisor sum of 2,309,816, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 23 × 199
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,104,000
Proper Divisor Sum 2,309,816
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #1794181 ← → #1794203

Radix Representation

Decimal 1794184
Binary 110110110000010001000 (21 bits)
Octal 0o6660210
Hexadecimal 0x1B6088

Divisor Catalog (48)

1 2 4 7 8 14 23 28 46 49 56 92 98 161 184 196 199 322 392 398 644 796 1,127 1,288 1,393 1,592 2,254 2,786 4,508 4,577 5,572 9,016 9,154 9,751 11,144 18,308 19,502 32,039 36,616 39,004 64,078 78,008 128,156 224,273 256,312 448,546 897,092 1,794,184

Collatz Trajectory (96 steps to reach 1)

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

1,794,184 897,092 448,546 224,273 672,820 336,410 168,205 504,616 252,308 126,154 63,077 189,232 94,616 47,308 23,654 11,827 35,482 17,741 53,224 26,612 13,306 6,653 19,960 9,980 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392

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