λ
Harmonic Matrix

184,450

2 × 52 × 7 × 17 × 31
Abundant Even Composite

184,450 has digital root 4. The neighboring primes are 184447 and 184463; its proper-divisor sum differs from the starting integer by 59,644.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 17 × 31
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 428,544
Proper Divisor Sum 244,094
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #184447 ← → #184463

Radix Representation

Decimal 184450
Binary 101101000010000010 (18 bits)
Octal 0o550202
Hexadecimal 0x2D082

Divisor Catalog (48)

1 2 5 7 10 14 17 25 31 34 35 50 62 70 85 119 155 170 175 217 238 310 350 425 434 527 595 775 850 1,054 1,085 1,190 1,550 2,170 2,635 2,975 3,689 5,270 5,425 5,950 7,378 10,850 13,175 18,445 26,350 36,890 92,225 184,450

Collatz Trajectory (103 steps to reach 1)

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

184,450 92,225 276,676 138,338 69,169 207,508 103,754 51,877 155,632 77,816 38,908 19,454 9,727 29,182 14,591 43,774 21,887 65,662 32,831 98,494 49,247 147,742 73,871 221,614 110,807 332,422 166,211 498,634 249,317 747,952 373,976 186,988 93,494 46,747 140,242 70,121 210,364 105,182 52,591 157,774 78,887 236,662 118,331 354,994 177,497 532,492 266,246 133,123 399,370 199,685 599,056 299,528 149,764 74,882 37,441 112,324 56,162 28,081 84,244 42,122

More profiles

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