λ
Sigma Notebook

422,492

22 × 7 × 79 × 191
Abundant Even Composite

422,492 is even and not a perfect square. Its factorization is 2^2 × 7 × 79 × 191 and its 24 divisors sum to 860,160.

Prime Factor Structure

Factorization String 2^2 × 7 × 79 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 860,160
Proper Divisor Sum 437,668
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #422479 ← → #422537

Radix Representation

Decimal 422492
Binary 1100111001001011100 (19 bits)
Octal 0o1471134
Hexadecimal 0x6725C

Divisor Catalog (24)

1 2 4 7 14 28 79 158 191 316 382 553 764 1,106 1,337 2,212 2,674 5,348 15,089 30,178 60,356 105,623 211,246 422,492

Collatz Trajectory (81 steps to reach 1)

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

422,492 211,246 105,623 316,870 158,435 475,306 237,653 712,960 356,480 178,240 89,120 44,560 22,280 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76

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