449,428

2² × 7² × 2293

449,428 has digital root 4. The neighboring primes are 449419 and 449437; its proper-divisor sum differs from the starting integer by 16,450.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 2293

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 915,306

Proper Divisor Sum 465,878

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #449419 ← → #449437

Radix Representation

Decimal	449428
Binary	1101101101110010100 (19 bits)
Octal	0o1555624
Hexadecimal	0x6DB94

Divisor Catalog (18)

1 2 4 7 14 28 49 98 196 2,293 4,586 9,172 16,051 32,102 64,204 112,357 224,714 449,428

Collatz Trajectory (50 steps to reach 1)

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

449,428 224,714 112,357 337,072 168,536 84,268 42,134 21,067 63,202 31,601 94,804 47,402 23,701 71,104 35,552 17,776 8,888 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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