λ
Harmonic Matrix

2,144,352

25 × 3 × 7 × 3191
Abundant Even Composite

2,144,352 has digital root 3. The neighboring primes are 2144323 and 2144369; its proper-divisor sum differs from the starting integer by 2,146,368.

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 3191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,435,072
Proper Divisor Sum 4,290,720
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2144323 ← → #2144369

Radix Representation

Decimal 2144352
Binary 1000001011100001100000 (22 bits)
Octal 0o10134140
Hexadecimal 0x20B860

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3,191 6,382 9,573 12,764 19,146 22,337 25,528 38,292 44,674 51,056 67,011 76,584 89,348 102,112 134,022 153,168 178,696 268,044 306,336 357,392 536,088 714,784 1,072,176 2,144,352

Collatz Trajectory (148 steps to reach 1)

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

2,144,352 1,072,176 536,088 268,044 134,022 67,011 201,034 100,517 301,552 150,776 75,388 37,694 18,847 56,542 28,271 84,814 42,407 127,222 63,611 190,834 95,417 286,252 143,126 71,563 214,690 107,345 322,036 161,018 80,509 241,528 120,764 60,382 30,191 90,574 45,287 135,862 67,931 203,794 101,897 305,692 152,846 76,423 229,270 114,635 343,906 171,953 515,860 257,930 128,965 386,896 193,448 96,724 48,362 24,181 72,544 36,272 18,136 9,068 4,534 2,267

More profiles

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