7,008,210

2 × 3² × 5 × 11 × 7079

7,008,210 has the prime decomposition 2 × 3^2 × 5 × 11 × 7079. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 11 × 7079

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 19,880,640

Proper Divisor Sum 12,872,430

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #7008203 ← → #7008247

Radix Representation

Decimal	7008210
Binary	11010101110111111010010 (23 bits)
Octal	0o32567722
Hexadecimal	0x6AEFD2

Divisor Catalog (48)

1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 7,079 14,158 21,237 35,395 42,474 63,711 70,790 77,869 106,185 127,422 155,738 212,370 233,607 318,555 389,345 467,214 637,110 700,821 778,690 1,168,035 1,401,642 2,336,070 3,504,105 7,008,210

Collatz Trajectory (152 steps to reach 1)

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

7,008,210 3,504,105 10,512,316 5,256,158 2,628,079 7,884,238 3,942,119 11,826,358 5,913,179 17,739,538 8,869,769 26,609,308 13,304,654 6,652,327 19,956,982 9,978,491 29,935,474 14,967,737 44,903,212 22,451,606 11,225,803 33,677,410 16,838,705 50,516,116 25,258,058 12,629,029 37,887,088 18,943,544 9,471,772 4,735,886 2,367,943 7,103,830 3,551,915 10,655,746 5,327,873 15,983,620 7,991,810 3,995,905 11,987,716 5,993,858 2,996,929 8,990,788 4,495,394 2,247,697 6,743,092 3,371,546 1,685,773 5,057,320 2,528,660 1,264,330 632,165 1,896,496 948,248 474,124 237,062 118,531 355,594 177,797 533,392 266,696

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