λ
Zalai Atlas

1,079,224

23 × 313 × 431
Deficient Even Composite

1,079,224 has the prime decomposition 2^3 × 313 × 431. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 313 × 431
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,034,720
Proper Divisor Sum 955,496
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1079213 ← → #1079227

Radix Representation

Decimal 1079224
Binary 100000111011110111000 (21 bits)
Octal 0o4073670
Hexadecimal 0x1077B8

Divisor Catalog (16)

1 2 4 8 313 431 626 862 1,252 1,724 2,504 3,448 134,903 269,806 539,612 1,079,224

Collatz Trajectory (165 steps to reach 1)

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

1,079,224 539,612 269,806 134,903 404,710 202,355 607,066 303,533 910,600 455,300 227,650 113,825 341,476 170,738 85,369 256,108 128,054 64,027 192,082 96,041 288,124 144,062 72,031 216,094 108,047 324,142 162,071 486,214 243,107 729,322 364,661 1,093,984 546,992 273,496 136,748 68,374 34,187 102,562 51,281 153,844 76,922 38,461 115,384 57,692 28,846 14,423 43,270 21,635 64,906 32,453 97,360 48,680 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141

More profiles

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