λ
Harmonic Matrix

2,445,210

2 × 32 × 5 × 101 × 269
Abundant Even Composite

2,445,210 has digital root 9. The neighboring primes are 2445203 and 2445211; its proper-divisor sum differs from the starting integer by 1,553,940.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 101 × 269
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,444,360
Proper Divisor Sum 3,999,150
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2445203 ← → #2445211

Radix Representation

Decimal 2445210
Binary 1001010100111110011010 (22 bits)
Octal 0o11247632
Hexadecimal 0x254F9A

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 90 101 202 269 303 505 538 606 807 909 1,010 1,345 1,515 1,614 1,818 2,421 2,690 3,030 4,035 4,545 4,842 8,070 9,090 12,105 24,210 27,169 54,338 81,507 135,845 163,014 244,521 271,690 407,535 489,042 815,070 1,222,605 2,445,210

Collatz Trajectory (86 steps to reach 1)

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

2,445,210 1,222,605 3,667,816 1,833,908 916,954 458,477 1,375,432 687,716 343,858 171,929 515,788 257,894 128,947 386,842 193,421 580,264 290,132 145,066 72,533 217,600 108,800 54,400 27,200 13,600 6,800 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433

More profiles

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