2,827,367

23 × 122929

2,827,367 factors as 23 × 122929. Its 4 positive divisors give a proper-divisor sum of 122,953, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 23 × 122929

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 2,950,320

Proper Divisor Sum 122,953

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #2827337 ← → #2827369

Radix Representation

Decimal	2827367
Binary	1010110010010001100111 (22 bits)
Octal	0o12622147
Hexadecimal	0x2B2467

Divisor Catalog (4)

1 23 122,929 2,827,367

Collatz Trajectory (107 steps to reach 1)

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

2,827,367 8,482,102 4,241,051 12,723,154 6,361,577 19,084,732 9,542,366 4,771,183 14,313,550 7,156,775 21,470,326 10,735,163 32,205,490 16,102,745 48,308,236 24,154,118 12,077,059 36,231,178 18,115,589 54,346,768 27,173,384 13,586,692 6,793,346 3,396,673 10,190,020 5,095,010 2,547,505 7,642,516 3,821,258 1,910,629 5,731,888 2,865,944 1,432,972 716,486 358,243 1,074,730 537,365 1,612,096 806,048 403,024 201,512 100,756 50,378 25,189 75,568 37,784 18,892 9,446 4,723 14,170 7,085 21,256 10,628 5,314 2,657 7,972 3,986 1,993 5,980 2,990

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