λ
Prime Ledger

1,985,009

13 × 43 × 53 × 67
Deficient Odd Composite

1,985,009 has the prime decomposition 13 × 43 × 53 × 67. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 13 × 43 × 53 × 67
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,261,952
Proper Divisor Sum 276,943
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1985003 ← → #1985017

Radix Representation

Decimal 1985009
Binary 111100100100111110001 (21 bits)
Octal 0o7444761
Hexadecimal 0x1E49F1

Divisor Catalog (16)

1 13 43 53 67 559 689 871 2,279 2,881 3,551 29,627 37,453 46,163 152,693 1,985,009

Collatz Trajectory (184 steps to reach 1)

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

1,985,009 5,955,028 2,977,514 1,488,757 4,466,272 2,233,136 1,116,568 558,284 279,142 139,571 418,714 209,357 628,072 314,036 157,018 78,509 235,528 117,764 58,882 29,441 88,324 44,162 22,081 66,244 33,122 16,561 49,684 24,842 12,421 37,264 18,632 9,316 4,658 2,329 6,988 3,494 1,747 5,242 2,621 7,864 3,932 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105

More profiles

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