7,118,769

3 × 7² × 79 × 613

7,118,769 has digital root 3. The neighboring primes are 7118737 and 7118791; its proper-divisor sum differs from the starting integer by -3,038,178.

Prime Factor Structure

Factorization String 3 × 7^2 × 79 × 613

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,199,360

Proper Divisor Sum 4,080,591

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7118737 ← → #7118791

Radix Representation

Decimal	7118769
Binary	11011001001111110110001 (23 bits)
Octal	0o33117661
Hexadecimal	0x6C9FB1

Divisor Catalog (24)

1 3 7 21 49 79 147 237 553 613 1,659 1,839 3,871 4,291 11,613 12,873 30,037 48,427 90,111 145,281 338,989 1,016,967 2,372,923 7,118,769

Collatz Trajectory (266 steps to reach 1)

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

7,118,769 21,356,308 10,678,154 5,339,077 16,017,232 8,008,616 4,004,308 2,002,154 1,001,077 3,003,232 1,501,616 750,808 375,404 187,702 93,851 281,554 140,777 422,332 211,166 105,583 316,750 158,375 475,126 237,563 712,690 356,345 1,069,036 534,518 267,259 801,778 400,889 1,202,668 601,334 300,667 902,002 451,001 1,353,004 676,502 338,251 1,014,754 507,377 1,522,132 761,066 380,533 1,141,600 570,800 285,400 142,700 71,350 35,675 107,026 53,513 160,540 80,270 40,135 120,406 60,203 180,610 90,305 270,916

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