λ
Ratio Atlas

7,080,102

2 × 33 × 131113
Abundant Even Composite

7,080,102 factors as 2 × 3^3 × 131113. Its 16 positive divisors give a proper-divisor sum of 8,653,578, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 131113
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,733,680
Proper Divisor Sum 8,653,578
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #7080097 ← → #7080107

Radix Representation

Decimal 7080102
Binary 11011000000100010100110 (23 bits)
Octal 0o33004246
Hexadecimal 0x6C08A6

Divisor Catalog (16)

1 2 3 6 9 18 27 54 131,113 262,226 393,339 786,678 1,180,017 2,360,034 3,540,051 7,080,102

Collatz Trajectory (222 steps to reach 1)

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

7,080,102 3,540,051 10,620,154 5,310,077 15,930,232 7,965,116 3,982,558 1,991,279 5,973,838 2,986,919 8,960,758 4,480,379 13,441,138 6,720,569 20,161,708 10,080,854 5,040,427 15,121,282 7,560,641 22,681,924 11,340,962 5,670,481 17,011,444 8,505,722 4,252,861 12,758,584 6,379,292 3,189,646 1,594,823 4,784,470 2,392,235 7,176,706 3,588,353 10,765,060 5,382,530 2,691,265 8,073,796 4,036,898 2,018,449 6,055,348 3,027,674 1,513,837 4,541,512 2,270,756 1,135,378 567,689 1,703,068 851,534 425,767 1,277,302 638,651 1,915,954 957,977 2,873,932 1,436,966 718,483 2,155,450 1,077,725 3,233,176 1,616,588

More profiles

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