λ
Prime Ledger

8,445,028

22 × 37 × 43 × 1327
Deficient Even Composite

8,445,028 has the prime decomposition 2^2 × 37 × 43 × 1327. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 37 × 43 × 1327
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,542,912
Proper Divisor Sum 7,097,884
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8445013 ← → #8445029

Radix Representation

Decimal 8445028
Binary 100000001101110001100100 (24 bits)
Octal 0o40156144
Hexadecimal 0x80DC64

Divisor Catalog (24)

1 2 4 37 43 74 86 148 172 1,327 1,591 2,654 3,182 5,308 6,364 49,099 57,061 98,198 114,122 196,396 228,244 2,111,257 4,222,514 8,445,028

Collatz Trajectory (181 steps to reach 1)

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

8,445,028 4,222,514 2,111,257 6,333,772 3,166,886 1,583,443 4,750,330 2,375,165 7,125,496 3,562,748 1,781,374 890,687 2,672,062 1,336,031 4,008,094 2,004,047 6,012,142 3,006,071 9,018,214 4,509,107 13,527,322 6,763,661 20,290,984 10,145,492 5,072,746 2,536,373 7,609,120 3,804,560 1,902,280 951,140 475,570 237,785 713,356 356,678 178,339 535,018 267,509 802,528 401,264 200,632 100,316 50,158 25,079 75,238 37,619 112,858 56,429 169,288 84,644 42,322 21,161 63,484 31,742 15,871 47,614 23,807 71,422 35,711 107,134 53,567

More profiles

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