λ
Harmonic Matrix

5,244,273

32 × 29 × 71 × 283
Deficient Odd Composite

5,244,273 has digital root 9. The neighboring primes are 5244263 and 5244277; its proper-divisor sum differs from the starting integer by -2,513,826.

Prime Factor Structure

Factorization String 3^2 × 29 × 71 × 283
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,974,720
Proper Divisor Sum 2,730,447
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5244263 ← → #5244277

Radix Representation

Decimal 5244273
Binary 10100000000010101110001 (23 bits)
Octal 0o24002561
Hexadecimal 0x500571

Divisor Catalog (24)

1 3 9 29 71 87 213 261 283 639 849 2,059 2,547 6,177 8,207 18,531 20,093 24,621 60,279 73,863 180,837 582,697 1,748,091 5,244,273

Collatz Trajectory (175 steps to reach 1)

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

5,244,273 15,732,820 7,866,410 3,933,205 11,799,616 5,899,808 2,949,904 1,474,952 737,476 368,738 184,369 553,108 276,554 138,277 414,832 207,416 103,708 51,854 25,927 77,782 38,891 116,674 58,337 175,012 87,506 43,753 131,260 65,630 32,815 98,446 49,223 147,670 73,835 221,506 110,753 332,260 166,130 83,065 249,196 124,598 62,299 186,898 93,449 280,348 140,174 70,087 210,262 105,131 315,394 157,697 473,092 236,546 118,273 354,820 177,410 88,705 266,116 133,058 66,529 199,588

More profiles

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