4,131,072

2⁸ × 3² × 11 × 163

4,131,072 has the prime decomposition 2^8 × 3^2 × 11 × 163. Its 4 distinct prime factors produce 108 positive divisors.

Prime Factor Structure

Factorization String 2^8 × 3^2 × 11 × 163

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 13,073,424

Proper Divisor Sum 8,942,352

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4131059 ← → #4131073

Radix Representation

Decimal	4131072
Binary	1111110000100100000000 (22 bits)
Octal	0o17604400
Hexadecimal	0x3F0900

Divisor Catalog (60 of 108)

1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 163 176 192 198 256 264 288 326 352 384 396 489 528 576 652 704 768 792 978 1,056 1,152 1,304 1,408 1,467 1,584 1,793 1,956 2,112 2,304 2,608 2,816 2,934 3,168

Collatz Trajectory (198 steps to reach 1)

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

4,131,072 2,065,536 1,032,768 516,384 258,192 129,096 64,548 32,274 16,137 48,412 24,206 12,103 36,310 18,155 54,466 27,233 81,700 40,850 20,425 61,276 30,638 15,319 45,958 22,979 68,938 34,469 103,408 51,704 25,852 12,926 6,463 19,390 9,695 29,086 14,543 43,630 21,815 65,446 32,723 98,170 49,085 147,256 73,628 36,814 18,407 55,222 27,611 82,834 41,417 124,252 62,126 31,063 93,190 46,595 139,786 69,893 209,680 104,840 52,420 26,210

← Previous Integer #4,131,071 Browse Full Index Next Integer #4,131,073 →