λ
Ratio Atlas

5,214,020

22 × 5 × 7 × 37243
Abundant Even Composite

5,214,020 factors as 2^2 × 5 × 7 × 37243. Its 24 positive divisors give a proper-divisor sum of 7,299,964, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 37243
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,513,984
Proper Divisor Sum 7,299,964
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #5214017 ← → #5214043

Radix Representation

Decimal 5214020
Binary 10011111000111101000100 (23 bits)
Octal 0o23707504
Hexadecimal 0x4F8F44

Divisor Catalog (24)

1 2 4 5 7 10 14 20 28 35 70 140 37,243 74,486 148,972 186,215 260,701 372,430 521,402 744,860 1,042,804 1,303,505 2,607,010 5,214,020

Collatz Trajectory (188 steps to reach 1)

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

5,214,020 2,607,010 1,303,505 3,910,516 1,955,258 977,629 2,932,888 1,466,444 733,222 366,611 1,099,834 549,917 1,649,752 824,876 412,438 206,219 618,658 309,329 927,988 463,994 231,997 695,992 347,996 173,998 86,999 260,998 130,499 391,498 195,749 587,248 293,624 146,812 73,406 36,703 110,110 55,055 165,166 82,583 247,750 123,875 371,626 185,813 557,440 278,720 139,360 69,680 34,840 17,420 8,710 4,355 13,066 6,533 19,600 9,800 4,900 2,450 1,225 3,676 1,838 919

More profiles

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