λ
Integer Codex

2,989,129

11 × 13 × 20903
Deficient Odd Composite

For 2,989,129, the 8 positive divisors have a total of 3,511,872. Removing 2,989,129 leaves 522,743, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 13 × 20903
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,511,872
Proper Divisor Sum 522,743
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #2989097 ← → #2989139

Radix Representation

Decimal 2989129
Binary 1011011001110001001001 (22 bits)
Octal 0o13316111
Hexadecimal 0x2D9C49

Divisor Catalog (8)

1 11 13 143 20,903 229,933 271,739 2,989,129

Collatz Trajectory (257 steps to reach 1)

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

2,989,129 8,967,388 4,483,694 2,241,847 6,725,542 3,362,771 10,088,314 5,044,157 15,132,472 7,566,236 3,783,118 1,891,559 5,674,678 2,837,339 8,512,018 4,256,009 12,768,028 6,384,014 3,192,007 9,576,022 4,788,011 14,364,034 7,182,017 21,546,052 10,773,026 5,386,513 16,159,540 8,079,770 4,039,885 12,119,656 6,059,828 3,029,914 1,514,957 4,544,872 2,272,436 1,136,218 568,109 1,704,328 852,164 426,082 213,041 639,124 319,562 159,781 479,344 239,672 119,836 59,918 29,959 89,878 44,939 134,818 67,409 202,228 101,114 50,557 151,672 75,836 37,918 18,959

More profiles

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