2,133,762

2 × 3 × 29 × 12263

2,133,762 factors as 2 × 3 × 29 × 12263. Its 16 positive divisors give a proper-divisor sum of 2,281,278, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 12263

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,415,040

Proper Divisor Sum 2,281,278

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2133743 ← → #2133773

Radix Representation

Decimal	2133762
Binary	1000001000111100000010 (22 bits)
Octal	0o10107402
Hexadecimal	0x208F02

Divisor Catalog (16)

1 2 3 6 29 58 87 174 12,263 24,526 36,789 73,578 355,627 711,254 1,066,881 2,133,762

Collatz Trajectory (96 steps to reach 1)

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

2,133,762 1,066,881 3,200,644 1,600,322 800,161 2,400,484 1,200,242 600,121 1,800,364 900,182 450,091 1,350,274 675,137 2,025,412 1,012,706 506,353 1,519,060 759,530 379,765 1,139,296 569,648 284,824 142,412 71,206 35,603 106,810 53,405 160,216 80,108 40,054 20,027 60,082 30,041 90,124 45,062 22,531 67,594 33,797 101,392 50,696 25,348 12,674 6,337 19,012 9,506 4,753 14,260 7,130 3,565 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258

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