λ
Ratio Atlas

5,277,138

2 × 3 × 879523
Abundant Even Composite

5,277,138 factors as 2 × 3 × 879523. Its 8 positive divisors give a proper-divisor sum of 5,277,150, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2 × 3 × 879523
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,554,288
Proper Divisor Sum 5,277,150
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5277131 ← → #5277163

Radix Representation

Decimal 5277138
Binary 10100001000010111010010 (23 bits)
Octal 0o24102722
Hexadecimal 0x5085D2

Divisor Catalog (8)

1 2 3 6 879,523 1,759,046 2,638,569 5,277,138

Collatz Trajectory (188 steps to reach 1)

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

5,277,138 2,638,569 7,915,708 3,957,854 1,978,927 5,936,782 2,968,391 8,905,174 4,452,587 13,357,762 6,678,881 20,036,644 10,018,322 5,009,161 15,027,484 7,513,742 3,756,871 11,270,614 5,635,307 16,905,922 8,452,961 25,358,884 12,679,442 6,339,721 19,019,164 9,509,582 4,754,791 14,264,374 7,132,187 21,396,562 10,698,281 32,094,844 16,047,422 8,023,711 24,071,134 12,035,567 36,106,702 18,053,351 54,160,054 27,080,027 81,240,082 40,620,041 121,860,124 60,930,062 30,465,031 91,395,094 45,697,547 137,092,642 68,546,321 205,638,964 102,819,482 51,409,741 154,229,224 77,114,612 38,557,306 19,278,653 57,835,960 28,917,980 14,458,990 7,229,495

More profiles

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