λ
Prime Ledger

1,316,637

32 × 7 × 20899
Deficient Odd Composite

1,316,637 has the prime decomposition 3^2 × 7 × 20899. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 20899
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,173,600
Proper Divisor Sum 856,963
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1316621 ← → #1316639

Radix Representation

Decimal 1316637
Binary 101000001011100011101 (21 bits)
Octal 0o5013435
Hexadecimal 0x14171D

Divisor Catalog (12)

1 3 7 9 21 63 20,899 62,697 146,293 188,091 438,879 1,316,637

Collatz Trajectory (292 steps to reach 1)

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

1,316,637 3,949,912 1,974,956 987,478 493,739 1,481,218 740,609 2,221,828 1,110,914 555,457 1,666,372 833,186 416,593 1,249,780 624,890 312,445 937,336 468,668 234,334 117,167 351,502 175,751 527,254 263,627 790,882 395,441 1,186,324 593,162 296,581 889,744 444,872 222,436 111,218 55,609 166,828 83,414 41,707 125,122 62,561 187,684 93,842 46,921 140,764 70,382 35,191 105,574 52,787 158,362 79,181 237,544 118,772 59,386 29,693 89,080 44,540 22,270 11,135 33,406 16,703 50,110

More profiles

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