λ
Sigma Notebook

6,949,138

2 × 7 × 47 × 59 × 179
Deficient Even Composite

6,949,138 is even and not a perfect square. Its factorization is 2 × 7 × 47 × 59 × 179 and its 32 divisors sum to 12,441,600.

Prime Factor Structure

Factorization String 2 × 7 × 47 × 59 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,441,600
Proper Divisor Sum 5,492,462
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6949127 ← → #6949139

Radix Representation

Decimal 6949138
Binary 11010100000100100010010 (23 bits)
Octal 0o32404422
Hexadecimal 0x6A0912

Divisor Catalog (32)

1 2 7 14 47 59 94 118 179 329 358 413 658 826 1,253 2,506 2,773 5,546 8,413 10,561 16,826 19,411 21,122 38,822 58,891 73,927 117,782 147,854 496,367 992,734 3,474,569 6,949,138

Collatz Trajectory (235 steps to reach 1)

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

6,949,138 3,474,569 10,423,708 5,211,854 2,605,927 7,817,782 3,908,891 11,726,674 5,863,337 17,590,012 8,795,006 4,397,503 13,192,510 6,596,255 19,788,766 9,894,383 29,683,150 14,841,575 44,524,726 22,262,363 66,787,090 33,393,545 100,180,636 50,090,318 25,045,159 75,135,478 37,567,739 112,703,218 56,351,609 169,054,828 84,527,414 42,263,707 126,791,122 63,395,561 190,186,684 95,093,342 47,546,671 142,640,014 71,320,007 213,960,022 106,980,011 320,940,034 160,470,017 481,410,052 240,705,026 120,352,513 361,057,540 180,528,770 90,264,385 270,793,156 135,396,578 67,698,289 203,094,868 101,547,434 50,773,717 152,321,152 76,160,576 38,080,288 19,040,144 9,520,072

More profiles

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