4,396,500

2² × 3² × 5³ × 977

4,396,500 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 5^3 × 977 and its 72 divisors sum to 13,883,688.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^3 × 977

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 13,883,688

Proper Divisor Sum 9,487,188

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4396493 ← → #4396517

Radix Representation

Decimal	4396500
Binary	10000110001010111010100 (23 bits)
Octal	0o20612724
Hexadecimal	0x4315D4

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 750 900 977 1,125 1,500 1,954 2,250 2,931 3,908 4,500 4,885 5,862 8,793 9,770 11,724 14,655 17,586 19,540 24,425 29,310 35,172 43,965 48,850 58,620 73,275 87,930 97,700 122,125 146,550 175,860

Collatz Trajectory (87 steps to reach 1)

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

4,396,500 2,198,250 1,099,125 3,297,376 1,648,688 824,344 412,172 206,086 103,043 309,130 154,565 463,696 231,848 115,924 57,962 28,981 86,944 43,472 21,736 10,868 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130

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