463,364

2² × 11 × 10531

463,364 factors as 2^2 × 11 × 10531. Its 12 positive divisors give a proper-divisor sum of 421,324, so this integer is deficient. The Collatz stopping time is 231 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 10531

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 884,688

Proper Divisor Sum 421,324

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #463363 ← → #463387

Radix Representation

Decimal	463364
Binary	1110001001000000100 (19 bits)
Octal	0o1611004
Hexadecimal	0x71204

Divisor Catalog (12)

1 2 4 11 22 44 10,531 21,062 42,124 115,841 231,682 463,364

Collatz Trajectory (231 steps to reach 1)

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

463,364 231,682 115,841 347,524 173,762 86,881 260,644 130,322 65,161 195,484 97,742 48,871 146,614 73,307 219,922 109,961 329,884 164,942 82,471 247,414 123,707 371,122 185,561 556,684 278,342 139,171 417,514 208,757 626,272 313,136 156,568 78,284 39,142 19,571 58,714 29,357 88,072 44,036 22,018 11,009 33,028 16,514 8,257 24,772 12,386 6,193 18,580 9,290 4,645 13,936 6,968 3,484 1,742 871 2,614 1,307 3,922 1,961 5,884 2,942

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