7,424,400

2⁴ × 3 × 5² × 23 × 269

7,424,400 is even and not a perfect square. Its factorization is 2^4 × 3 × 5^2 × 23 × 269 and its 120 divisors sum to 24,909,120.

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 23 × 269

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 24,909,120

Proper Divisor Sum 17,484,720

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7424381 ← → #7424401

Radix Representation

Decimal	7424400
Binary	11100010100100110010000 (23 bits)
Octal	0o34244620
Hexadecimal	0x714990

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 138 150 184 200 230 240 269 276 300 345 368 400 460 538 552 575 600 690 807 920 1,076 1,104 1,150 1,200 1,345 1,380 1,614 1,725 1,840 2,152 2,300 2,690

Collatz Trajectory (186 steps to reach 1)

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

7,424,400 3,712,200 1,856,100 928,050 464,025 1,392,076 696,038 348,019 1,044,058 522,029 1,566,088 783,044 391,522 195,761 587,284 293,642 146,821 440,464 220,232 110,116 55,058 27,529 82,588 41,294 20,647 61,942 30,971 92,914 46,457 139,372 69,686 34,843 104,530 52,265 156,796 78,398 39,199 117,598 58,799 176,398 88,199 264,598 132,299 396,898 198,449 595,348 297,674 148,837 446,512 223,256 111,628 55,814 27,907 83,722 41,861 125,584 62,792 31,396 15,698 7,849

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