λ
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7,112,014

2 × 7 × 13 × 23 × 1699
Deficient Even Composite

7,112,014 factors as 2 × 7 × 13 × 23 × 1699. Its 32 positive divisors give a proper-divisor sum of 6,596,786, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 23 × 1699
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,708,800
Proper Divisor Sum 6,596,786
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #7112011 ← → #7112041

Radix Representation

Decimal 7112014
Binary 11011001000010101001110 (23 bits)
Octal 0o33102516
Hexadecimal 0x6C854E

Divisor Catalog (32)

1 2 7 13 14 23 26 46 91 161 182 299 322 598 1,699 2,093 3,398 4,186 11,893 22,087 23,786 39,077 44,174 78,154 154,609 273,539 309,218 508,001 547,078 1,016,002 3,556,007 7,112,014

Collatz Trajectory (191 steps to reach 1)

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

7,112,014 3,556,007 10,668,022 5,334,011 16,002,034 8,001,017 24,003,052 12,001,526 6,000,763 18,002,290 9,001,145 27,003,436 13,501,718 6,750,859 20,252,578 10,126,289 30,378,868 15,189,434 7,594,717 22,784,152 11,392,076 5,696,038 2,848,019 8,544,058 4,272,029 12,816,088 6,408,044 3,204,022 1,602,011 4,806,034 2,403,017 7,209,052 3,604,526 1,802,263 5,406,790 2,703,395 8,110,186 4,055,093 12,165,280 6,082,640 3,041,320 1,520,660 760,330 380,165 1,140,496 570,248 285,124 142,562 71,281 213,844 106,922 53,461 160,384 80,192 40,096 20,048 10,024 5,012 2,506 1,253

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