λ
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4,493,670

2 × 3 × 5 × 47 × 3187
Abundant Even Composite

4,493,670 factors as 2 × 3 × 5 × 47 × 3187. Its 32 positive divisors give a proper-divisor sum of 6,524,058, so this integer is abundant. The Collatz stopping time is 247 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 47 × 3187
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,017,728
Proper Divisor Sum 6,524,058
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4493663 ← → #4493689

Radix Representation

Decimal 4493670
Binary 10001001001000101100110 (23 bits)
Octal 0o21110546
Hexadecimal 0x449166

Divisor Catalog (32)

1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 1,410 3,187 6,374 9,561 15,935 19,122 31,870 47,805 95,610 149,789 299,578 449,367 748,945 898,734 1,497,890 2,246,835 4,493,670

Collatz Trajectory (247 steps to reach 1)

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

4,493,670 2,246,835 6,740,506 3,370,253 10,110,760 5,055,380 2,527,690 1,263,845 3,791,536 1,895,768 947,884 473,942 236,971 710,914 355,457 1,066,372 533,186 266,593 799,780 399,890 199,945 599,836 299,918 149,959 449,878 224,939 674,818 337,409 1,012,228 506,114 253,057 759,172 379,586 189,793 569,380 284,690 142,345 427,036 213,518 106,759 320,278 160,139 480,418 240,209 720,628 360,314 180,157 540,472 270,236 135,118 67,559 202,678 101,339 304,018 152,009 456,028 228,014 114,007 342,022 171,011

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