λ
Harmonic Matrix

4,992,148

22 × 7 × 131 × 1361
Abundant Even Composite

4,992,148 has digital root 1. The neighboring primes are 4992137 and 4992149; its proper-divisor sum differs from the starting integer by 83,608.

Prime Factor Structure

Factorization String 2^2 × 7 × 131 × 1361
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,067,904
Proper Divisor Sum 5,075,756
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4992137 ← → #4992149

Radix Representation

Decimal 4992148
Binary 10011000010110010010100 (23 bits)
Octal 0o23026224
Hexadecimal 0x4C2C94

Divisor Catalog (24)

1 2 4 7 14 28 131 262 524 917 1,361 1,834 2,722 3,668 5,444 9,527 19,054 38,108 178,291 356,582 713,164 1,248,037 2,496,074 4,992,148

Collatz Trajectory (175 steps to reach 1)

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

4,992,148 2,496,074 1,248,037 3,744,112 1,872,056 936,028 468,014 234,007 702,022 351,011 1,053,034 526,517 1,579,552 789,776 394,888 197,444 98,722 49,361 148,084 74,042 37,021 111,064 55,532 27,766 13,883 41,650 20,825 62,476 31,238 15,619 46,858 23,429 70,288 35,144 17,572 8,786 4,393 13,180 6,590 3,295 9,886 4,943 14,830 7,415 22,246 11,123 33,370 16,685 50,056 25,028 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880

More profiles

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