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Atlas › Integer Profiles › Node 30,142,960

30,142,960

24 × 5 × 376787
Abundant Even Composite

30,142,960 factors as 2^4 × 5 × 376787. Its 20 positive divisors give a proper-divisor sum of 39,939,608, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 376787
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 70,082,568
Proper Divisor Sum 39,939,608
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #30142951 ← → #30142993

Radix Representation

Decimal 30142960
Binary 1110010111111000111110000 (25 bits)
Octal 0o162770760
Hexadecimal 0x1CBF1F0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 376,787 753,574 1,507,148 1,883,935 3,014,296 3,767,870 6,028,592 7,535,740 15,071,480 30,142,960

Collatz Trajectory (113 steps to reach 1)

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

30,142,960 15,071,480 7,535,740 3,767,870 1,883,935 5,651,806 2,825,903 8,477,710 4,238,855 12,716,566 6,358,283 19,074,850 9,537,425 28,612,276 14,306,138 7,153,069 21,459,208 10,729,604 5,364,802 2,682,401 8,047,204 4,023,602 2,011,801 6,035,404 3,017,702 1,508,851 4,526,554 2,263,277 6,789,832 3,394,916 1,697,458 848,729 2,546,188 1,273,094 636,547 1,909,642 954,821 2,864,464 1,432,232 716,116 358,058 179,029 537,088 268,544 134,272 67,136 33,568 16,784 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181 3,544 1,772 886

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