λ
Integer Codex

1,426,278

2 × 3 × 7 × 29 × 1171
Abundant Even Composite

For 1,426,278, the 32 positive divisors have a total of 3,375,360. Removing 1,426,278 leaves 1,949,082, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 29 × 1171
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,375,360
Proper Divisor Sum 1,949,082
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1426277 ← → #1426289

Radix Representation

Decimal 1426278
Binary 101011100001101100110 (21 bits)
Octal 0o5341546
Hexadecimal 0x15C366

Divisor Catalog (32)

1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 1,171 1,218 2,342 3,513 7,026 8,197 16,394 24,591 33,959 49,182 67,918 101,877 203,754 237,713 475,426 713,139 1,426,278

Collatz Trajectory (98 steps to reach 1)

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

1,426,278 713,139 2,139,418 1,069,709 3,209,128 1,604,564 802,282 401,141 1,203,424 601,712 300,856 150,428 75,214 37,607 112,822 56,411 169,234 84,617 253,852 126,926 63,463 190,390 95,195 285,586 142,793 428,380 214,190 107,095 321,286 160,643 481,930 240,965 722,896 361,448 180,724 90,362 45,181 135,544 67,772 33,886 16,943 50,830 25,415 76,246 38,123 114,370 57,185 171,556 85,778 42,889 128,668 64,334 32,167 96,502 48,251 144,754 72,377 217,132 108,566 54,283

More profiles

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