λ
Sigma Notebook

2,347,024

24 × 3832
Deficient Even Composite Square (√ = 1532)

2,347,024 is even and an exact square with square root 1532. Its factorization is 2^4 × 383^2 and its 15 divisors sum to 4,559,263.

Prime Factor Structure

Factorization String 2^4 × 383^2
Distinct Prime Factors 2
Square Status Yes (√2347024 = 1532)
Abundance Measure Deficient

Analytical Properties

Total Divisors 15
Divisor Sum (σ) 4,559,263
Proper Divisor Sum 2,212,239
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2347001 ← → #2347031

Radix Representation

Decimal 2347024
Binary 1000111101000000010000 (22 bits)
Octal 0o10750020
Hexadecimal 0x23D010

Divisor Catalog (15)

1 2 4 8 16 383 766 1,532 3,064 6,128 146,689 293,378 586,756 1,173,512 2,347,024

Collatz Trajectory (104 steps to reach 1)

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

2,347,024 1,173,512 586,756 293,378 146,689 440,068 220,034 110,017 330,052 165,026 82,513 247,540 123,770 61,885 185,656 92,828 46,414 23,207 69,622 34,811 104,434 52,217 156,652 78,326 39,163 117,490 58,745 176,236 88,118 44,059 132,178 66,089 198,268 99,134 49,567 148,702 74,351 223,054 111,527 334,582 167,291 501,874 250,937 752,812 376,406 188,203 564,610 282,305 846,916 423,458 211,729 635,188 317,594 158,797 476,392 238,196 119,098 59,549 178,648 89,324

More profiles

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