λ
Integer Codex

2,529,294

2 × 3 × 17 × 137 × 181
Abundant Even Composite

For 2,529,294, the 32 positive divisors have a total of 5,425,056. Removing 2,529,294 leaves 2,895,762, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 137 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,425,056
Proper Divisor Sum 2,895,762
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2529269 ← → #2529301

Radix Representation

Decimal 2529294
Binary 1001101001100000001110 (22 bits)
Octal 0o11514016
Hexadecimal 0x26980E

Divisor Catalog (32)

1 2 3 6 17 34 51 102 137 181 274 362 411 543 822 1,086 2,329 3,077 4,658 6,154 6,987 9,231 13,974 18,462 24,797 49,594 74,391 148,782 421,549 843,098 1,264,647 2,529,294

Collatz Trajectory (130 steps to reach 1)

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

2,529,294 1,264,647 3,793,942 1,896,971 5,690,914 2,845,457 8,536,372 4,268,186 2,134,093 6,402,280 3,201,140 1,600,570 800,285 2,400,856 1,200,428 600,214 300,107 900,322 450,161 1,350,484 675,242 337,621 1,012,864 506,432 253,216 126,608 63,304 31,652 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446

More profiles

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