λ
Sigma Notebook

372,340

22 × 5 × 18617
Abundant Even Composite

372,340 is even and not a perfect square. Its factorization is 2^2 × 5 × 18617 and its 12 divisors sum to 781,956.

Prime Factor Structure

Factorization String 2^2 × 5 × 18617
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 781,956
Proper Divisor Sum 409,616
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #372313 ← → #372353

Radix Representation

Decimal 372340
Binary 1011010111001110100 (19 bits)
Octal 0o1327164
Hexadecimal 0x5AE74

Divisor Catalog (12)

1 2 4 5 10 20 18,617 37,234 74,468 93,085 186,170 372,340

Collatz Trajectory (117 steps to reach 1)

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

372,340 186,170 93,085 279,256 139,628 69,814 34,907 104,722 52,361 157,084 78,542 39,271 117,814 58,907 176,722 88,361 265,084 132,542 66,271 198,814 99,407 298,222 149,111 447,334 223,667 671,002 335,501 1,006,504 503,252 251,626 125,813 377,440 188,720 94,360 47,180 23,590 11,795 35,386 17,693 53,080 26,540 13,270 6,635 19,906 9,953 29,860 14,930 7,465 22,396 11,198 5,599 16,798 8,399 25,198 12,599 37,798 18,899 56,698 28,349 85,048

More profiles

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