λ
Prime Ledger

7,249,296

24 × 3 × 151027
Abundant Even Composite

7,249,296 has the prime decomposition 2^4 × 3 × 151027. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 151027
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 18,727,472
Proper Divisor Sum 11,478,176
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7249283 ← → #7249331

Radix Representation

Decimal 7249296
Binary 11011101001110110010000 (23 bits)
Octal 0o33516620
Hexadecimal 0x6E9D90

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 151,027 302,054 453,081 604,108 906,162 1,208,216 1,812,324 2,416,432 3,624,648 7,249,296

Collatz Trajectory (41 steps to reach 1)

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

7,249,296 3,624,648 1,812,324 906,162 453,081 1,359,244 679,622 339,811 1,019,434 509,717 1,529,152 764,576 382,288 191,144 95,572 47,786 23,893 71,680 35,840 17,920 8,960 4,480 2,240 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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