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Atlas › Integer Profiles › Node 20,009,124

20,009,124

22 × 32 × 137 × 4057
Abundant Even Composite

20,009,124 factors as 2^2 × 3^2 × 137 × 4057. Its 36 positive divisors give a proper-divisor sum of 30,951,240, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 137 × 4057
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 50,960,364
Proper Divisor Sum 30,951,240
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #20009117 ← → #20009137

Radix Representation

Decimal 20009124
Binary 1001100010101000010100100 (25 bits)
Octal 0o114250244
Hexadecimal 0x13150A4

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 137 274 411 548 822 1,233 1,644 2,466 4,057 4,932 8,114 12,171 16,228 24,342 36,513 48,684 73,026 146,052 555,809 1,111,618 1,667,427 2,223,236 3,334,854 5,002,281 6,669,708 10,004,562 20,009,124

Collatz Trajectory (115 steps to reach 1)

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

20,009,124 10,004,562 5,002,281 15,006,844 7,503,422 3,751,711 11,255,134 5,627,567 16,882,702 8,441,351 25,324,054 12,662,027 37,986,082 18,993,041 56,979,124 28,489,562 14,244,781 42,734,344 21,367,172 10,683,586 5,341,793 16,025,380 8,012,690 4,006,345 12,019,036 6,009,518 3,004,759 9,014,278 4,507,139 13,521,418 6,760,709 20,282,128 10,141,064 5,070,532 2,535,266 1,267,633 3,802,900 1,901,450 950,725 2,852,176 1,426,088 713,044 356,522 178,261 534,784 267,392 133,696 66,848 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527

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