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Atlas › Integer Profiles › Node 17,550,978

17,550,978

2 × 3 × 23 × 89 × 1429
Abundant Even Composite

17,550,978 factors as 2 × 3 × 23 × 89 × 1429. Its 32 positive divisors give a proper-divisor sum of 19,514,622, so this integer is abundant. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 89 × 1429
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 37,065,600
Proper Divisor Sum 19,514,622
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #17550977 ← → #17550983

Radix Representation

Decimal 17550978
Binary 1000010111100111010000010 (25 bits)
Octal 0o102747202
Hexadecimal 0x10BCE82

Divisor Catalog (32)

1 2 3 6 23 46 69 89 138 178 267 534 1,429 2,047 2,858 4,094 4,287 6,141 8,574 12,282 32,867 65,734 98,601 127,181 197,202 254,362 381,543 763,086 2,925,163 5,850,326 8,775,489 17,550,978

Collatz Trajectory (138 steps to reach 1)

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

17,550,978 8,775,489 26,326,468 13,163,234 6,581,617 19,744,852 9,872,426 4,936,213 14,808,640 7,404,320 3,702,160 1,851,080 925,540 462,770 231,385 694,156 347,078 173,539 520,618 260,309 780,928 390,464 195,232 97,616 48,808 24,404 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526

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