λ
Zalai Atlas

3,167,516

22 × 11 × 193 × 373
Deficient Even Composite

3,167,516 has the prime decomposition 2^2 × 11 × 193 × 373. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 193 × 373
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,094,704
Proper Divisor Sum 2,927,188
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3167513 ← → #3167519

Radix Representation

Decimal 3167516
Binary 1100000101010100011100 (22 bits)
Octal 0o14052434
Hexadecimal 0x30551C

Divisor Catalog (24)

1 2 4 11 22 44 193 373 386 746 772 1,492 2,123 4,103 4,246 8,206 8,492 16,412 71,989 143,978 287,956 791,879 1,583,758 3,167,516

Collatz Trajectory (151 steps to reach 1)

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

3,167,516 1,583,758 791,879 2,375,638 1,187,819 3,563,458 1,781,729 5,345,188 2,672,594 1,336,297 4,008,892 2,004,446 1,002,223 3,006,670 1,503,335 4,510,006 2,255,003 6,765,010 3,382,505 10,147,516 5,073,758 2,536,879 7,610,638 3,805,319 11,415,958 5,707,979 17,123,938 8,561,969 25,685,908 12,842,954 6,421,477 19,264,432 9,632,216 4,816,108 2,408,054 1,204,027 3,612,082 1,806,041 5,418,124 2,709,062 1,354,531 4,063,594 2,031,797 6,095,392 3,047,696 1,523,848 761,924 380,962 190,481 571,444 285,722 142,861 428,584 214,292 107,146 53,573 160,720 80,360 40,180 20,090

More profiles

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