λ
Match Zalai

4,831,548

22 × 3 × 19 × 21191
Abundant Even Composite

4,831,548 factors as 2^2 × 3 × 19 × 21191. Its 24 positive divisors give a proper-divisor sum of 7,035,972, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 21191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,867,520
Proper Divisor Sum 7,035,972
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4831531 ← → #4831549

Radix Representation

Decimal 4831548
Binary 10010011011100100111100 (23 bits)
Octal 0o22334474
Hexadecimal 0x49B93C

Divisor Catalog (24)

1 2 3 4 6 12 19 38 57 76 114 228 21,191 42,382 63,573 84,764 127,146 254,292 402,629 805,258 1,207,887 1,610,516 2,415,774 4,831,548

Collatz Trajectory (149 steps to reach 1)

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

4,831,548 2,415,774 1,207,887 3,623,662 1,811,831 5,435,494 2,717,747 8,153,242 4,076,621 12,229,864 6,114,932 3,057,466 1,528,733 4,586,200 2,293,100 1,146,550 573,275 1,719,826 859,913 2,579,740 1,289,870 644,935 1,934,806 967,403 2,902,210 1,451,105 4,353,316 2,176,658 1,088,329 3,264,988 1,632,494 816,247 2,448,742 1,224,371 3,673,114 1,836,557 5,509,672 2,754,836 1,377,418 688,709 2,066,128 1,033,064 516,532 258,266 129,133 387,400 193,700 96,850 48,425 145,276 72,638 36,319 108,958 54,479 163,438 81,719 245,158 122,579 367,738 183,869

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