456,104

2³ × 11 × 71 × 73

456,104 has the prime decomposition 2^3 × 11 × 71 × 73. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 71 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 959,040

Proper Divisor Sum 502,936

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #456091 ← → #456107

Radix Representation

Decimal	456104
Binary	1101111010110101000 (19 bits)
Octal	0o1572650
Hexadecimal	0x6F5A8

Divisor Catalog (32)

1 2 4 8 11 22 44 71 73 88 142 146 284 292 568 584 781 803 1,562 1,606 3,124 3,212 5,183 6,248 6,424 10,366 20,732 41,464 57,013 114,026 228,052 456,104

Collatz Trajectory (169 steps to reach 1)

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

456,104 228,052 114,026 57,013 171,040 85,520 42,760 21,380 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576 48,788 24,394 12,197 36,592 18,296 9,148 4,574 2,287 6,862 3,431 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374

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