λ
Prime Ledger

4,928,378

2 × 7 × 132 × 2083
Deficient Even Composite

4,928,378 has the prime decomposition 2 × 7 × 13^2 × 2083. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 13^2 × 2083
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,152,928
Proper Divisor Sum 4,224,550
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #4928377 ← → #4928381

Radix Representation

Decimal 4928378
Binary 10010110011001101111010 (23 bits)
Octal 0o22631572
Hexadecimal 0x4B337A

Divisor Catalog (24)

1 2 7 13 14 26 91 169 182 338 1,183 2,083 2,366 4,166 14,581 27,079 29,162 54,158 189,553 352,027 379,106 704,054 2,464,189 4,928,378

Collatz Trajectory (82 steps to reach 1)

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

4,928,378 2,464,189 7,392,568 3,696,284 1,848,142 924,071 2,772,214 1,386,107 4,158,322 2,079,161 6,237,484 3,118,742 1,559,371 4,678,114 2,339,057 7,017,172 3,508,586 1,754,293 5,262,880 2,631,440 1,315,720 657,860 328,930 164,465 493,396 246,698 123,349 370,048 185,024 92,512 46,256 23,128 11,564 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148

More profiles

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