2,048,864

2⁵ × 43 × 1489

2,048,864 factors as 2^5 × 43 × 1489. Its 24 positive divisors give a proper-divisor sum of 2,081,416, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^5 × 43 × 1489

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,130,280

Proper Divisor Sum 2,081,416

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #2048861 ← → #2048867

Radix Representation

Decimal	2048864
Binary	111110100001101100000 (21 bits)
Octal	0o7641540
Hexadecimal	0x1F4360

Divisor Catalog (24)

Collatz Trajectory (153 steps to reach 1)

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

2,048,864 1,024,432 512,216 256,108 128,054 64,027 192,082 96,041 288,124 144,062 72,031 216,094 108,047 324,142 162,071 486,214 243,107 729,322 364,661 1,093,984 546,992 273,496 136,748 68,374 34,187 102,562 51,281 153,844 76,922 38,461 115,384 57,692 28,846 14,423 43,270 21,635 64,906 32,453 97,360 48,680 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428 214 107 322 161 484 242 121 364

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