λ
Prime Ledger

4,949,248

28 × 19333
Deficient Even Composite

4,949,248 has the prime decomposition 2^8 × 19333. Its 2 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 2^8 × 19333
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 9,879,674
Proper Divisor Sum 4,930,426
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #4949239 ← → #4949249

Radix Representation

Decimal 4949248
Binary 10010111000010100000000 (23 bits)
Octal 0o22702400
Hexadecimal 0x4B8500

Divisor Catalog (18)

1 2 4 8 16 32 64 128 256 19,333 38,666 77,332 154,664 309,328 618,656 1,237,312 2,474,624 4,949,248

Collatz Trajectory (82 steps to reach 1)

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

4,949,248 2,474,624 1,237,312 618,656 309,328 154,664 77,332 38,666 19,333 58,000 29,000 14,500 7,250 3,625 10,876 5,438 2,719 8,158 4,079 12,238 6,119 18,358 9,179 27,538 13,769 41,308 20,654 10,327 30,982 15,491 46,474 23,237 69,712 34,856 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148

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