λ
Harmonic Matrix

2,529,258

2 × 3 × 47 × 8969
Abundant Even Composite

2,529,258 has digital root 6. The neighboring primes are 2529253 and 2529269; its proper-divisor sum differs from the starting integer by 108,204.

Prime Factor Structure

Factorization String 2 × 3 × 47 × 8969
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,166,720
Proper Divisor Sum 2,637,462
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2529253 ← → #2529269

Radix Representation

Decimal 2529258
Binary 1001101001011111101010 (22 bits)
Octal 0o11513752
Hexadecimal 0x2697EA

Divisor Catalog (16)

1 2 3 6 47 94 141 282 8,969 17,938 26,907 53,814 421,543 843,086 1,264,629 2,529,258

Collatz Trajectory (104 steps to reach 1)

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

2,529,258 1,264,629 3,793,888 1,896,944 948,472 474,236 237,118 118,559 355,678 177,839 533,518 266,759 800,278 400,139 1,200,418 600,209 1,800,628 900,314 450,157 1,350,472 675,236 337,618 168,809 506,428 253,214 126,607 379,822 189,911 569,734 284,867 854,602 427,301 1,281,904 640,952 320,476 160,238 80,119 240,358 120,179 360,538 180,269 540,808 270,404 135,202 67,601 202,804 101,402 50,701 152,104 76,052 38,026 19,013 57,040 28,520 14,260 7,130 3,565 10,696 5,348 2,674

More profiles

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