λ
Harmonic Matrix

1,261,242

2 × 32 × 41 × 1709
Abundant Even Composite

1,261,242 has digital root 9. The neighboring primes are 1261223 and 1261259; its proper-divisor sum differs from the starting integer by 278,496.

Prime Factor Structure

Factorization String 2 × 3^2 × 41 × 1709
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,800,980
Proper Divisor Sum 1,539,738
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1261223 ← → #1261259

Radix Representation

Decimal 1261242
Binary 100110011111010111010 (21 bits)
Octal 0o4637272
Hexadecimal 0x133EBA

Divisor Catalog (24)

1 2 3 6 9 18 41 82 123 246 369 738 1,709 3,418 5,127 10,254 15,381 30,762 70,069 140,138 210,207 420,414 630,621 1,261,242

Collatz Trajectory (204 steps to reach 1)

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

1,261,242 630,621 1,891,864 945,932 472,966 236,483 709,450 354,725 1,064,176 532,088 266,044 133,022 66,511 199,534 99,767 299,302 149,651 448,954 224,477 673,432 336,716 168,358 84,179 252,538 126,269 378,808 189,404 94,702 47,351 142,054 71,027 213,082 106,541 319,624 159,812 79,906 39,953 119,860 59,930 29,965 89,896 44,948 22,474 11,237 33,712 16,856 8,428 4,214 2,107 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334

More profiles

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