λ
Prime Ledger

2,473,996

22 × 7 × 149 × 593
Abundant Even Composite

2,473,996 has the prime decomposition 2^2 × 7 × 149 × 593. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 149 × 593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,989,600
Proper Divisor Sum 2,515,604
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #2473979 ← → #2473997

Radix Representation

Decimal 2473996
Binary 1001011100000000001100 (22 bits)
Octal 0o11340014
Hexadecimal 0x25C00C

Divisor Catalog (24)

1 2 4 7 14 28 149 298 593 596 1,043 1,186 2,086 2,372 4,151 4,172 8,302 16,604 88,357 176,714 353,428 618,499 1,236,998 2,473,996

Collatz Trajectory (205 steps to reach 1)

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

2,473,996 1,236,998 618,499 1,855,498 927,749 2,783,248 1,391,624 695,812 347,906 173,953 521,860 260,930 130,465 391,396 195,698 97,849 293,548 146,774 73,387 220,162 110,081 330,244 165,122 82,561 247,684 123,842 61,921 185,764 92,882 46,441 139,324 69,662 34,831 104,494 52,247 156,742 78,371 235,114 117,557 352,672 176,336 88,168 44,084 22,042 11,021 33,064 16,532 8,266 4,133 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618

More profiles

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