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Atlas › Integer Profiles › Node 1,293,036

1,293,036

22 × 3 × 277 × 389
Abundant Even Composite

1,293,036 factors as 2^2 × 3 × 277 × 389. Its 24 positive divisors give a proper-divisor sum of 1,742,724, so this integer is abundant. The Collatz stopping time is 323 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 277 × 389
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,035,760
Proper Divisor Sum 1,742,724
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1293031 ← → #1293077

Radix Representation

Decimal 1293036
Binary 100111011101011101100 (21 bits)
Octal 0o4735354
Hexadecimal 0x13BAEC

Divisor Catalog (24)

1 2 3 4 6 12 277 389 554 778 831 1,108 1,167 1,556 1,662 2,334 3,324 4,668 107,753 215,506 323,259 431,012 646,518 1,293,036

Collatz Trajectory (323 steps to reach 1)

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

1,293,036 646,518 323,259 969,778 484,889 1,454,668 727,334 363,667 1,091,002 545,501 1,636,504 818,252 409,126 204,563 613,690 306,845 920,536 460,268 230,134 115,067 345,202 172,601 517,804 258,902 129,451 388,354 194,177 582,532 291,266 145,633 436,900 218,450 109,225 327,676 163,838 81,919 245,758 122,879 368,638 184,319 552,958 276,479 829,438 414,719 1,244,158 622,079 1,866,238 933,119 2,799,358 1,399,679 4,199,038 2,099,519 6,298,558 3,149,279 9,447,838 4,723,919 14,171,758 7,085,879 21,257,638 10,628,819

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