λ
Sigma Notebook

2,672,984

23 × 47 × 7109
Deficient Even Composite

2,672,984 is even and not a perfect square. Its factorization is 2^3 × 47 × 7109 and its 16 divisors sum to 5,119,200.

Prime Factor Structure

Factorization String 2^3 × 47 × 7109
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,119,200
Proper Divisor Sum 2,446,216
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2672947 ← → #2672987

Radix Representation

Decimal 2672984
Binary 1010001100100101011000 (22 bits)
Octal 0o12144530
Hexadecimal 0x28C958

Divisor Catalog (16)

1 2 4 8 47 94 188 376 7,109 14,218 28,436 56,872 334,123 668,246 1,336,492 2,672,984

Collatz Trajectory (63 steps to reach 1)

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

2,672,984 1,336,492 668,246 334,123 1,002,370 501,185 1,503,556 751,778 375,889 1,127,668 563,834 281,917 845,752 422,876 211,438 105,719 317,158 158,579 475,738 237,869 713,608 356,804 178,402 89,201 267,604 133,802 66,901 200,704 100,352 50,176 25,088 12,544 6,272 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16

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