λ
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3,232,240

24 × 5 × 11 × 3673
Abundant Even Composite

3,232,240 factors as 2^4 × 5 × 11 × 3673. Its 40 positive divisors give a proper-divisor sum of 4,968,128, so this integer is abundant. The Collatz stopping time is 71 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 11 × 3673
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 8,200,368
Proper Divisor Sum 4,968,128
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #3232231 ← → #3232247

Radix Representation

Decimal 3232240
Binary 1100010101000111110000 (22 bits)
Octal 0o14250760
Hexadecimal 0x3151F0

Divisor Catalog (40)

1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 3,673 7,346 14,692 18,365 29,384 36,730 40,403 58,768 73,460 80,806 146,920 161,612 202,015 293,840 323,224 404,030 646,448 808,060 1,616,120 3,232,240

Collatz Trajectory (71 steps to reach 1)

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

3,232,240 1,616,120 808,060 404,030 202,015 606,046 303,023 909,070 454,535 1,363,606 681,803 2,045,410 1,022,705 3,068,116 1,534,058 767,029 2,301,088 1,150,544 575,272 287,636 143,818 71,909 215,728 107,864 53,932 26,966 13,483 40,450 20,225 60,676 30,338 15,169 45,508 22,754 11,377 34,132 17,066 8,533 25,600 12,800 6,400 3,200 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17

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