λ
Sigma Notebook

1,424,016

24 × 32 × 11 × 29 × 31
Abundant Even Composite

1,424,016 is even and not a perfect square. Its factorization is 2^4 × 3^2 × 11 × 29 × 31 and its 120 divisors sum to 4,642,560.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 11 × 29 × 31
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 4,642,560
Proper Divisor Sum 3,218,544
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1423997 ← → #1424021

Radix Representation

Decimal 1424016
Binary 101011011101010010000 (21 bits)
Octal 0o5335220
Hexadecimal 0x15BA90

Divisor Catalog (60 of 120)

1 2 3 4 6 8 9 11 12 16 18 22 24 29 31 33 36 44 48 58 62 66 72 87 88 93 99 116 124 132 144 174 176 186 198 232 248 261 264 279 319 341 348 372 396 464 496 522 528 558 638 682 696 744 792 899 957 1,023 1,044 1,116

Collatz Trajectory (106 steps to reach 1)

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

1,424,016 712,008 356,004 178,002 89,001 267,004 133,502 66,751 200,254 100,127 300,382 150,191 450,574 225,287 675,862 337,931 1,013,794 506,897 1,520,692 760,346 380,173 1,140,520 570,260 285,130 142,565 427,696 213,848 106,924 53,462 26,731 80,194 40,097 120,292 60,146 30,073 90,220 45,110 22,555 67,666 33,833 101,500 50,750 25,375 76,126 38,063 114,190 57,095 171,286 85,643 256,930 128,465 385,396 192,698 96,349 289,048 144,524 72,262 36,131 108,394 54,197

More profiles

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