λ
Harmonic Matrix

5,276,337

3 × 11 × 281 × 569
Deficient Odd Composite

5,276,337 has digital root 6. The neighboring primes are 5276333 and 5276339; its proper-divisor sum differs from the starting integer by -2,837,154.

Prime Factor Structure

Factorization String 3 × 11 × 281 × 569
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,715,520
Proper Divisor Sum 2,439,183
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5276333 ← → #5276339

Radix Representation

Decimal 5276337
Binary 10100001000001010110001 (23 bits)
Octal 0o24101261
Hexadecimal 0x5082B1

Divisor Catalog (16)

1 3 11 33 281 569 843 1,707 3,091 6,259 9,273 18,777 159,889 479,667 1,758,779 5,276,337

Collatz Trajectory (100 steps to reach 1)

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

5,276,337 15,829,012 7,914,506 3,957,253 11,871,760 5,935,880 2,967,940 1,483,970 741,985 2,225,956 1,112,978 556,489 1,669,468 834,734 417,367 1,252,102 626,051 1,878,154 939,077 2,817,232 1,408,616 704,308 352,154 176,077 528,232 264,116 132,058 66,029 198,088 99,044 49,522 24,761 74,284 37,142 18,571 55,714 27,857 83,572 41,786 20,893 62,680 31,340 15,670 7,835 23,506 11,753 35,260 17,630 8,815 26,446 13,223 39,670 19,835 59,506 29,753 89,260 44,630 22,315 66,946 33,473

More profiles

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