4,271,724

2² × 3³ × 37 × 1069

4,271,724 is even and not a perfect square. Its factorization is 2^2 × 3^3 × 37 × 1069 and its 48 divisors sum to 11,384,800.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 37 × 1069

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,384,800

Proper Divisor Sum 7,113,076

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4271717 ← → #4271731

Radix Representation

Decimal	4271724
Binary	10000010010111001101100 (23 bits)
Octal	0o20227154
Hexadecimal	0x412E6C

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1,069 1,332 1,998 2,138 3,207 3,996 4,276 6,414 9,621 12,828 19,242 28,863 38,484 39,553 57,726 79,106 115,452 118,659 158,212 237,318 355,977 474,636 711,954 1,067,931 1,423,908 2,135,862 4,271,724

Collatz Trajectory (97 steps to reach 1)

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

4,271,724 2,135,862 1,067,931 3,203,794 1,601,897 4,805,692 2,402,846 1,201,423 3,604,270 1,802,135 5,406,406 2,703,203 8,109,610 4,054,805 12,164,416 6,082,208 3,041,104 1,520,552 760,276 380,138 190,069 570,208 285,104 142,552 71,276 35,638 17,819 53,458 26,729 80,188 40,094 20,047 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273 42,820 21,410 10,705 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034 4,517

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