λ
Prime Ledger

2,320,420

22 × 5 × 181 × 641
Abundant Even Composite

2,320,420 has the prime decomposition 2^2 × 5 × 181 × 641. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 181 × 641
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,907,448
Proper Divisor Sum 2,587,028
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #2320399 ← → #2320421

Radix Representation

Decimal 2320420
Binary 1000110110100000100100 (22 bits)
Octal 0o10664044
Hexadecimal 0x236824

Divisor Catalog (24)

1 2 4 5 10 20 181 362 641 724 905 1,282 1,810 2,564 3,205 3,620 6,410 12,820 116,021 232,042 464,084 580,105 1,160,210 2,320,420

Collatz Trajectory (99 steps to reach 1)

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

2,320,420 1,160,210 580,105 1,740,316 870,158 435,079 1,305,238 652,619 1,957,858 978,929 2,936,788 1,468,394 734,197 2,202,592 1,101,296 550,648 275,324 137,662 68,831 206,494 103,247 309,742 154,871 464,614 232,307 696,922 348,461 1,045,384 522,692 261,346 130,673 392,020 196,010 98,005 294,016 147,008 73,504 36,752 18,376 9,188 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456

More profiles

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