λ
Prime Ledger

2,764,224

26 × 32 × 4799
Abundant Even Composite

2,764,224 has the prime decomposition 2^6 × 3^2 × 4799. Its 3 distinct prime factors produce 42 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3^2 × 4799
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 42
Divisor Sum (σ) 7,924,800
Proper Divisor Sum 5,160,576
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2764213 ← → #2764247

Radix Representation

Decimal 2764224
Binary 1010100010110111000000 (22 bits)
Octal 0o12426700
Hexadecimal 0x2A2DC0

Divisor Catalog (42)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 4,799 9,598 14,397 19,196 28,794 38,392 43,191 57,588 76,784 86,382 115,176 153,568 172,764 230,352 307,136 345,528 460,704 691,056 921,408 1,382,112 2,764,224

Collatz Trajectory (200 steps to reach 1)

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

2,764,224 1,382,112 691,056 345,528 172,764 86,382 43,191 129,574 64,787 194,362 97,181 291,544 145,772 72,886 36,443 109,330 54,665 163,996 81,998 40,999 122,998 61,499 184,498 92,249 276,748 138,374 69,187 207,562 103,781 311,344 155,672 77,836 38,918 19,459 58,378 29,189 87,568 43,784 21,892 10,946 5,473 16,420 8,210 4,105 12,316 6,158 3,079 9,238 4,619 13,858 6,929 20,788 10,394 5,197 15,592 7,796 3,898 1,949 5,848 2,924

More profiles

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