λ
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2,364,264

23 × 32 × 7 × 4691
Abundant Even Composite

2,364,264 factors as 2^3 × 3^2 × 7 × 4691. Its 48 positive divisors give a proper-divisor sum of 4,955,256, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 4691
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,319,520
Proper Divisor Sum 4,955,256
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2364247 ← → #2364281

Radix Representation

Decimal 2364264
Binary 1001000001001101101000 (22 bits)
Octal 0o11011550
Hexadecimal 0x241368

Divisor Catalog (48)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 4,691 9,382 14,073 18,764 28,146 32,837 37,528 42,219 56,292 65,674 84,438 98,511 112,584 131,348 168,876 197,022 262,696 295,533 337,752 394,044 591,066 788,088 1,182,132 2,364,264

Collatz Trajectory (86 steps to reach 1)

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

2,364,264 1,182,132 591,066 295,533 886,600 443,300 221,650 110,825 332,476 166,238 83,119 249,358 124,679 374,038 187,019 561,058 280,529 841,588 420,794 210,397 631,192 315,596 157,798 78,899 236,698 118,349 355,048 177,524 88,762 44,381 133,144 66,572 33,286 16,643 49,930 24,965 74,896 37,448 18,724 9,362 4,681 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501

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