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Atlas › Integer Profiles › Node 7,762,014

7,762,014

2 × 33 × 13 × 11057
Abundant Even Composite

7,762,014 factors as 2 × 3^3 × 13 × 11057. Its 32 positive divisors give a proper-divisor sum of 10,815,426, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 13 × 11057
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,577,440
Proper Divisor Sum 10,815,426
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7761989 ← → #7762021

Radix Representation

Decimal 7762014
Binary 11101100111000001011110 (23 bits)
Octal 0o35470136
Hexadecimal 0x76705E

Divisor Catalog (32)

1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 11,057 22,114 33,171 66,342 99,513 143,741 199,026 287,482 298,539 431,223 597,078 862,446 1,293,669 2,587,338 3,881,007 7,762,014

Collatz Trajectory (80 steps to reach 1)

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

7,762,014 3,881,007 11,643,022 5,821,511 17,464,534 8,732,267 26,196,802 13,098,401 39,295,204 19,647,602 9,823,801 29,471,404 14,735,702 7,367,851 22,103,554 11,051,777 33,155,332 16,577,666 8,288,833 24,866,500 12,433,250 6,216,625 18,649,876 9,324,938 4,662,469 13,987,408 6,993,704 3,496,852 1,748,426 874,213 2,622,640 1,311,320 655,660 327,830 163,915 491,746 245,873 737,620 368,810 184,405 553,216 276,608 138,304 69,152 34,576 17,288 8,644 4,322 2,161 6,484 3,242 1,621 4,864 2,432 1,216 608 304 152 76 38

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