λ
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7,127,070

2 × 3 × 5 × 353 × 673
Abundant Even Composite

7,127,070 factors as 2 × 3 × 5 × 353 × 673. Its 32 positive divisors give a proper-divisor sum of 10,051,842, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 353 × 673
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,178,912
Proper Divisor Sum 10,051,842
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7127053 ← → #7127077

Radix Representation

Decimal 7127070
Binary 11011001100000000011110 (23 bits)
Octal 0o33140036
Hexadecimal 0x6CC01E

Divisor Catalog (32)

1 2 3 5 6 10 15 30 353 673 706 1,059 1,346 1,765 2,019 2,118 3,365 3,530 4,038 5,295 6,730 10,095 10,590 20,190 237,569 475,138 712,707 1,187,845 1,425,414 2,375,690 3,563,535 7,127,070

Collatz Trajectory (98 steps to reach 1)

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

7,127,070 3,563,535 10,690,606 5,345,303 16,035,910 8,017,955 24,053,866 12,026,933 36,080,800 18,040,400 9,020,200 4,510,100 2,255,050 1,127,525 3,382,576 1,691,288 845,644 422,822 211,411 634,234 317,117 951,352 475,676 237,838 118,919 356,758 178,379 535,138 267,569 802,708 401,354 200,677 602,032 301,016 150,508 75,254 37,627 112,882 56,441 169,324 84,662 42,331 126,994 63,497 190,492 95,246 47,623 142,870 71,435 214,306 107,153 321,460 160,730 80,365 241,096 120,548 60,274 30,137 90,412 45,206

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