λ
Harmonic Matrix

2,249,442

2 × 32 × 13 × 9613
Abundant Even Composite

2,249,442 has digital root 9. The neighboring primes are 2249441 and 2249477; its proper-divisor sum differs from the starting integer by 750,360.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 9613
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,249,244
Proper Divisor Sum 2,999,802
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2249441 ← → #2249477

Radix Representation

Decimal 2249442
Binary 1000100101001011100010 (22 bits)
Octal 0o10451342
Hexadecimal 0x2252E2

Divisor Catalog (24)

1 2 3 6 9 13 18 26 39 78 117 234 9,613 19,226 28,839 57,678 86,517 124,969 173,034 249,938 374,907 749,814 1,124,721 2,249,442

Collatz Trajectory (148 steps to reach 1)

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

2,249,442 1,124,721 3,374,164 1,687,082 843,541 2,530,624 1,265,312 632,656 316,328 158,164 79,082 39,541 118,624 59,312 29,656 14,828 7,414 3,707 11,122 5,561 16,684 8,342 4,171 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412

More profiles

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