λ
Match Zalai

4,442,420

22 × 5 × 151 × 1471
Abundant Even Composite

4,442,420 factors as 2^2 × 5 × 151 × 1471. Its 24 positive divisors give a proper-divisor sum of 4,954,828, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 151 × 1471
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,397,248
Proper Divisor Sum 4,954,828
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4442413 ← → #4442429

Radix Representation

Decimal 4442420
Binary 10000111100100100110100 (23 bits)
Octal 0o20744464
Hexadecimal 0x43C934

Divisor Catalog (24)

1 2 4 5 10 20 151 302 604 755 1,471 1,510 2,942 3,020 5,884 7,355 14,710 29,420 222,121 444,242 888,484 1,110,605 2,221,210 4,442,420

Collatz Trajectory (136 steps to reach 1)

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

4,442,420 2,221,210 1,110,605 3,331,816 1,665,908 832,954 416,477 1,249,432 624,716 312,358 156,179 468,538 234,269 702,808 351,404 175,702 87,851 263,554 131,777 395,332 197,666 98,833 296,500 148,250 74,125 222,376 111,188 55,594 27,797 83,392 41,696 20,848 10,424 5,212 2,606 1,303 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790

More profiles

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