λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,267,802

4,267,802

2 × 72 × 11 × 37 × 107
Deficient Even Composite

4,267,802 factors as 2 × 7^2 × 11 × 37 × 107. Its 48 positive divisors give a proper-divisor sum of 4,153,606, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 11 × 37 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,421,408
Proper Divisor Sum 4,153,606
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4267787 ← → #4267819

Radix Representation

Decimal 4267802
Binary 10000010001111100011010 (23 bits)
Octal 0o20217432
Hexadecimal 0x411F1A

Divisor Catalog (48)

1 2 7 11 14 22 37 49 74 77 98 107 154 214 259 407 518 539 749 814 1,078 1,177 1,498 1,813 2,354 2,849 3,626 3,959 5,243 5,698 7,918 8,239 10,486 16,478 19,943 27,713 39,886 43,549 55,426 57,673 87,098 115,346 193,991 304,843 387,982 609,686 2,133,901 4,267,802

Collatz Trajectory (123 steps to reach 1)

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

4,267,802 2,133,901 6,401,704 3,200,852 1,600,426 800,213 2,400,640 1,200,320 600,160 300,080 150,040 75,020 37,510 18,755 56,266 28,133 84,400 42,200 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,267,801 Browse Full Index Next Integer #4,267,803 →