λ
Harmonic Matrix

5,244,972

22 × 3 × 37 × 11813
Abundant Even Composite

5,244,972 has digital root 6. The neighboring primes are 5244947 and 5245003; its proper-divisor sum differs from the starting integer by 2,080,152.

Prime Factor Structure

Factorization String 2^2 × 3 × 37 × 11813
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,570,096
Proper Divisor Sum 7,325,124
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5244947 ← → #5245003

Radix Representation

Decimal 5244972
Binary 10100000000100000101100 (23 bits)
Octal 0o24004054
Hexadecimal 0x50082C

Divisor Catalog (24)

1 2 3 4 6 12 37 74 111 148 222 444 11,813 23,626 35,439 47,252 70,878 141,756 437,081 874,162 1,311,243 1,748,324 2,622,486 5,244,972

Collatz Trajectory (188 steps to reach 1)

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

5,244,972 2,622,486 1,311,243 3,933,730 1,966,865 5,900,596 2,950,298 1,475,149 4,425,448 2,212,724 1,106,362 553,181 1,659,544 829,772 414,886 207,443 622,330 311,165 933,496 466,748 233,374 116,687 350,062 175,031 525,094 262,547 787,642 393,821 1,181,464 590,732 295,366 147,683 443,050 221,525 664,576 332,288 166,144 83,072 41,536 20,768 10,384 5,192 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560

More profiles

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