λ
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4,010,664

23 × 3 × 7 × 23873
Abundant Even Composite

4,010,664 factors as 2^3 × 3 × 7 × 23873. Its 32 positive divisors give a proper-divisor sum of 7,448,856, so this integer is abundant. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 23873
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,459,520
Proper Divisor Sum 7,448,856
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4010663 ← → #4010701

Radix Representation

Decimal 4010664
Binary 1111010011001010101000 (22 bits)
Octal 0o17231250
Hexadecimal 0x3D32A8

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 23,873 47,746 71,619 95,492 143,238 167,111 190,984 286,476 334,222 501,333 572,952 668,444 1,002,666 1,336,888 2,005,332 4,010,664

Collatz Trajectory (66 steps to reach 1)

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

4,010,664 2,005,332 1,002,666 501,333 1,504,000 752,000 376,000 188,000 94,000 47,000 23,500 11,750 5,875 17,626 8,813 26,440 13,220 6,610 3,305 9,916 4,958 2,479 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20

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