λ
Sigma Notebook

273,102

2 × 3 × 23 × 1979
Abundant Even Composite

273,102 is even and not a perfect square. Its factorization is 2 × 3 × 23 × 1979 and its 16 divisors sum to 570,240.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 1979
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 570,240
Proper Divisor Sum 297,138
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #273083 ← → #273107

Radix Representation

Decimal 273102
Binary 1000010101011001110 (19 bits)
Octal 0o1025316
Hexadecimal 0x42ACE

Divisor Catalog (16)

1 2 3 6 23 46 69 138 1,979 3,958 5,937 11,874 45,517 91,034 136,551 273,102

Collatz Trajectory (207 steps to reach 1)

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

273,102 136,551 409,654 204,827 614,482 307,241 921,724 460,862 230,431 691,294 345,647 1,036,942 518,471 1,555,414 777,707 2,333,122 1,166,561 3,499,684 1,749,842 874,921 2,624,764 1,312,382 656,191 1,968,574 984,287 2,952,862 1,476,431 4,429,294 2,214,647 6,643,942 3,321,971 9,965,914 4,982,957 14,948,872 7,474,436 3,737,218 1,868,609 5,605,828 2,802,914 1,401,457 4,204,372 2,102,186 1,051,093 3,153,280 1,576,640 788,320 394,160 197,080 98,540 49,270 24,635 73,906 36,953 110,860 55,430 27,715 83,146 41,573 124,720 62,360

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