λ
Ratio Atlas

4,809,696

25 × 3 × 50101
Abundant Even Composite

4,809,696 factors as 2^5 × 3 × 50101. Its 24 positive divisors give a proper-divisor sum of 7,816,008, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 50101
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,625,704
Proper Divisor Sum 7,816,008
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4809689 ← → #4809703

Radix Representation

Decimal 4809696
Binary 10010010110001111100000 (23 bits)
Octal 0o22261740
Hexadecimal 0x4963E0

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 50,101 100,202 150,303 200,404 300,606 400,808 601,212 801,616 1,202,424 1,603,232 2,404,848 4,809,696

Collatz Trajectory (74 steps to reach 1)

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

4,809,696 2,404,848 1,202,424 601,212 300,606 150,303 450,910 225,455 676,366 338,183 1,014,550 507,275 1,521,826 760,913 2,282,740 1,141,370 570,685 1,712,056 856,028 428,014 214,007 642,022 321,011 963,034 481,517 1,444,552 722,276 361,138 180,569 541,708 270,854 135,427 406,282 203,141 609,424 304,712 152,356 76,178 38,089 114,268 57,134 28,567 85,702 42,851 128,554 64,277 192,832 96,416 48,208 24,104 12,052 6,026 3,013 9,040 4,520 2,260 1,130 565 1,696 848

More profiles

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