λ
Sigma Notebook

498,464

25 × 37 × 421
Abundant Even Composite

498,464 is even and not a perfect square. Its factorization is 2^5 × 37 × 421 and its 24 divisors sum to 1,010,268.

Prime Factor Structure

Factorization String 2^5 × 37 × 421
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,010,268
Proper Divisor Sum 511,804
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #498461 ← → #498467

Radix Representation

Decimal 498464
Binary 1111001101100100000 (19 bits)
Octal 0o1715440
Hexadecimal 0x79B20

Divisor Catalog (24)

1 2 4 8 16 32 37 74 148 296 421 592 842 1,184 1,684 3,368 6,736 13,472 15,577 31,154 62,308 124,616 249,232 498,464

Collatz Trajectory (89 steps to reach 1)

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

498,464 249,232 124,616 62,308 31,154 15,577 46,732 23,366 11,683 35,050 17,525 52,576 26,288 13,144 6,572 3,286 1,643 4,930 2,465 7,396 3,698 1,849 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89

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