λ
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2,352,560

24 × 5 × 7 × 4201
Abundant Even Composite

2,352,560 factors as 2^4 × 5 × 7 × 4201. Its 40 positive divisors give a proper-divisor sum of 3,900,016, so this integer is abundant. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 4201
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 6,252,576
Proper Divisor Sum 3,900,016
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2352557 ← → #2352563

Radix Representation

Decimal 2352560
Binary 1000111110010110110000 (22 bits)
Octal 0o10762660
Hexadecimal 0x23E5B0

Divisor Catalog (40)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 4,201 8,402 16,804 21,005 29,407 33,608 42,010 58,814 67,216 84,020 117,628 147,035 168,040 235,256 294,070 336,080 470,512 588,140 1,176,280 2,352,560

Collatz Trajectory (192 steps to reach 1)

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

2,352,560 1,176,280 588,140 294,070 147,035 441,106 220,553 661,660 330,830 165,415 496,246 248,123 744,370 372,185 1,116,556 558,278 279,139 837,418 418,709 1,256,128 628,064 314,032 157,016 78,508 39,254 19,627 58,882 29,441 88,324 44,162 22,081 66,244 33,122 16,561 49,684 24,842 12,421 37,264 18,632 9,316 4,658 2,329 6,988 3,494 1,747 5,242 2,621 7,864 3,932 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415

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