λ
Prime Ledger

2,479,420

22 × 5 × 151 × 821
Abundant Even Composite

2,479,420 has the prime decomposition 2^2 × 5 × 151 × 821. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 151 × 821
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,247,648
Proper Divisor Sum 2,768,228
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2479409 ← → #2479429

Radix Representation

Decimal 2479420
Binary 1001011101010100111100 (22 bits)
Octal 0o11352474
Hexadecimal 0x25D53C

Divisor Catalog (24)

1 2 4 5 10 20 151 302 604 755 821 1,510 1,642 3,020 3,284 4,105 8,210 16,420 123,971 247,942 495,884 619,855 1,239,710 2,479,420

Collatz Trajectory (143 steps to reach 1)

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

2,479,420 1,239,710 619,855 1,859,566 929,783 2,789,350 1,394,675 4,184,026 2,092,013 6,276,040 3,138,020 1,569,010 784,505 2,353,516 1,176,758 588,379 1,765,138 882,569 2,647,708 1,323,854 661,927 1,985,782 992,891 2,978,674 1,489,337 4,468,012 2,234,006 1,117,003 3,351,010 1,675,505 5,026,516 2,513,258 1,256,629 3,769,888 1,884,944 942,472 471,236 235,618 117,809 353,428 176,714 88,357 265,072 132,536 66,268 33,134 16,567 49,702 24,851 74,554 37,277 111,832 55,916 27,958 13,979 41,938 20,969 62,908 31,454 15,727

More profiles

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