455,080

2³ × 5 × 31 × 367

455,080 factors as 2^3 × 5 × 31 × 367. Its 32 positive divisors give a proper-divisor sum of 604,760, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 31 × 367

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,059,840

Proper Divisor Sum 604,760

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #455053 ← → #455093

Radix Representation

Decimal	455080
Binary	1101111000110101000 (19 bits)
Octal	0o1570650
Hexadecimal	0x6F1A8

Divisor Catalog (32)

1 2 4 5 8 10 20 31 40 62 124 155 248 310 367 620 734 1,240 1,468 1,835 2,936 3,670 7,340 11,377 14,680 22,754 45,508 56,885 91,016 113,770 227,540 455,080

Collatz Trajectory (125 steps to reach 1)

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

455,080 227,540 113,770 56,885 170,656 85,328 42,664 21,332 10,666 5,333 16,000 8,000 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502

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