λ
Prime Ledger

3,648,473

271 × 13463
Deficient Odd Composite

3,648,473 has the prime decomposition 271 × 13463. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 271 × 13463
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,662,208
Proper Divisor Sum 13,735
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3648451 ← → #3648479

Radix Representation

Decimal 3648473
Binary 1101111010101111011001 (22 bits)
Octal 0o15725731
Hexadecimal 0x37ABD9

Divisor Catalog (4)

1 271 13,463 3,648,473

Collatz Trajectory (58 steps to reach 1)

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

3,648,473 10,945,420 5,472,710 2,736,355 8,209,066 4,104,533 12,313,600 6,156,800 3,078,400 1,539,200 769,600 384,800 192,400 96,200 48,100 24,050 12,025 36,076 18,038 9,019 27,058 13,529 40,588 20,294 10,147 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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