λ
Harmonic Matrix

5,245,641

35 × 21587
Deficient Odd Composite

5,245,641 has digital root 9. The neighboring primes are 5245619 and 5245651; its proper-divisor sum differs from the starting integer by -2,633,250.

Prime Factor Structure

Factorization String 3^5 × 21587
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,858,032
Proper Divisor Sum 2,612,391
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5245619 ← → #5245651

Radix Representation

Decimal 5245641
Binary 10100000000101011001001 (23 bits)
Octal 0o24005311
Hexadecimal 0x500AC9

Divisor Catalog (12)

1 3 9 27 81 243 21,587 64,761 194,283 582,849 1,748,547 5,245,641

Collatz Trajectory (113 steps to reach 1)

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

5,245,641 15,736,924 7,868,462 3,934,231 11,802,694 5,901,347 17,704,042 8,852,021 26,556,064 13,278,032 6,639,016 3,319,508 1,659,754 829,877 2,489,632 1,244,816 622,408 311,204 155,602 77,801 233,404 116,702 58,351 175,054 87,527 262,582 131,291 393,874 196,937 590,812 295,406 147,703 443,110 221,555 664,666 332,333 997,000 498,500 249,250 124,625 373,876 186,938 93,469 280,408 140,204 70,102 35,051 105,154 52,577 157,732 78,866 39,433 118,300 59,150 29,575 88,726 44,363 133,090 66,545 199,636

More profiles

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