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Atlas › Integer Profiles › Node 30,049,240

30,049,240

23 × 5 × 13 × 57787
Abundant Even Composite

30,049,240 factors as 2^3 × 5 × 13 × 57787. Its 32 positive divisors give a proper-divisor sum of 42,763,640, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 57787
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 72,812,880
Proper Divisor Sum 42,763,640
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #30049219 ← → #30049273

Radix Representation

Decimal 30049240
Binary 1110010101000001111011000 (25 bits)
Octal 0o162501730
Hexadecimal 0x1CA83D8

Divisor Catalog (32)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 57,787 115,574 231,148 288,935 462,296 577,870 751,231 1,155,740 1,502,462 2,311,480 3,004,924 3,756,155 6,009,848 7,512,310 15,024,620 30,049,240

Collatz Trajectory (87 steps to reach 1)

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

30,049,240 15,024,620 7,512,310 3,756,155 11,268,466 5,634,233 16,902,700 8,451,350 4,225,675 12,677,026 6,338,513 19,015,540 9,507,770 4,753,885 14,261,656 7,130,828 3,565,414 1,782,707 5,348,122 2,674,061 8,022,184 4,011,092 2,005,546 1,002,773 3,008,320 1,504,160 752,080 376,040 188,020 94,010 47,005 141,016 70,508 35,254 17,627 52,882 26,441 79,324 39,662 19,831 59,494 29,747 89,242 44,621 133,864 66,932 33,466 16,733 50,200 25,100 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530 1,765 5,296

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