3,007,100

2² × 5² × 30071

3,007,100 factors as 2^2 × 5^2 × 30071. Its 18 positive divisors give a proper-divisor sum of 3,518,524, so this integer is abundant. The Collatz stopping time is 270 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 30071

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 6,525,624

Proper Divisor Sum 3,518,524

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #3007091 ← → #3007129

Radix Representation

Decimal	3007100
Binary	1011011110001001111100 (22 bits)
Octal	0o13361174
Hexadecimal	0x2DE27C

Divisor Catalog (18)

1 2 4 5 10 20 25 50 100 30,071 60,142 120,284 150,355 300,710 601,420 751,775 1,503,550 3,007,100

Collatz Trajectory (270 steps to reach 1)

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

3,007,100 1,503,550 751,775 2,255,326 1,127,663 3,382,990 1,691,495 5,074,486 2,537,243 7,611,730 3,805,865 11,417,596 5,708,798 2,854,399 8,563,198 4,281,599 12,844,798 6,422,399 19,267,198 9,633,599 28,900,798 14,450,399 43,351,198 21,675,599 65,026,798 32,513,399 97,540,198 48,770,099 146,310,298 73,155,149 219,465,448 109,732,724 54,866,362 27,433,181 82,299,544 41,149,772 20,574,886 10,287,443 30,862,330 15,431,165 46,293,496 23,146,748 11,573,374 5,786,687 17,360,062 8,680,031 26,040,094 13,020,047 39,060,142 19,530,071 58,590,214 29,295,107 87,885,322 43,942,661 131,827,984 65,913,992 32,956,996 16,478,498 8,239,249 24,717,748

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