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404,952

23 × 3 × 47 × 359
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 47 × 359
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,036,800
Proper Divisor Sum 631,848
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #404951 ← → #404959

Radix Representation

Decimal 404952
Binary 1100010110111011000 (19 bits)
Octal 0o1426730
Hexadecimal 0x62DD8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 47 94 141 188 282 359 376 564 718 1,077 1,128 1,436 2,154 2,872 4,308 8,616 16,873 33,746 50,619 67,492 101,238 134,984 202,476 404,952

Collatz Trajectory (60 steps to reach 1)

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

404,952 202,476 101,238 50,619 151,858 75,929 227,788 113,894 56,947 170,842 85,421 256,264 128,132 64,066 32,033 96,100 48,050 24,025 72,076 36,038 18,019 54,058 27,029 81,088 40,544 20,272 10,136 5,068 2,534 1,267 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2

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