λ
Prime Ledger

6,321,100

22 × 52 × 63211
Abundant Even Composite

6,321,100 has the prime decomposition 2^2 × 5^2 × 63211. Its 3 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 63211
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 13,717,004
Proper Divisor Sum 7,395,904
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #6321097 ← → #6321121

Radix Representation

Decimal 6321100
Binary 11000000111001111001100 (23 bits)
Octal 0o30071714
Hexadecimal 0x6073CC

Divisor Catalog (18)

1 2 4 5 10 20 25 50 100 63,211 126,422 252,844 316,055 632,110 1,264,220 1,580,275 3,160,550 6,321,100

Collatz Trajectory (152 steps to reach 1)

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

6,321,100 3,160,550 1,580,275 4,740,826 2,370,413 7,111,240 3,555,620 1,777,810 888,905 2,666,716 1,333,358 666,679 2,000,038 1,000,019 3,000,058 1,500,029 4,500,088 2,250,044 1,125,022 562,511 1,687,534 843,767 2,531,302 1,265,651 3,796,954 1,898,477 5,695,432 2,847,716 1,423,858 711,929 2,135,788 1,067,894 533,947 1,601,842 800,921 2,402,764 1,201,382 600,691 1,802,074 901,037 2,703,112 1,351,556 675,778 337,889 1,013,668 506,834 253,417 760,252 380,126 190,063 570,190 285,095 855,286 427,643 1,282,930 641,465 1,924,396 962,198 481,099 1,443,298

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