λ
Prime Ledger

2,409,476

22 × 167 × 3607
Deficient Even Composite

2,409,476 has the prime decomposition 2^2 × 167 × 3607. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 167 × 3607
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,243,008
Proper Divisor Sum 1,833,532
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2409469 ← → #2409487

Radix Representation

Decimal 2409476
Binary 1001001100010000000100 (22 bits)
Octal 0o11142004
Hexadecimal 0x24C404

Divisor Catalog (12)

1 2 4 167 334 668 3,607 7,214 14,428 602,369 1,204,738 2,409,476

Collatz Trajectory (143 steps to reach 1)

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

2,409,476 1,204,738 602,369 1,807,108 903,554 451,777 1,355,332 677,666 338,833 1,016,500 508,250 254,125 762,376 381,188 190,594 95,297 285,892 142,946 71,473 214,420 107,210 53,605 160,816 80,408 40,204 20,102 10,051 30,154 15,077 45,232 22,616 11,308 5,654 2,827 8,482 4,241 12,724 6,362 3,181 9,544 4,772 2,386 1,193 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308

More profiles

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