7,342,500

2² × 3 × 5⁴ × 11 × 89

7,342,500 is even and not a perfect square. Its factorization is 2^2 × 3 × 5^4 × 11 × 89 and its 120 divisors sum to 23,617,440.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^4 × 11 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 23,617,440

Proper Divisor Sum 16,274,940

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7342483 ← → #7342501

Radix Representation

Decimal	7342500
Binary	11100000000100110100100 (23 bits)
Octal	0o34004644
Hexadecimal	0x7009A4

Divisor Catalog (60 of 120)

1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 89 100 110 125 132 150 165 178 220 250 267 275 300 330 356 375 445 500 534 550 625 660 750 825 890 979 1,068 1,100 1,250 1,335 1,375 1,500 1,650 1,780 1,875 1,958 2,225 2,500 2,670

Collatz Trajectory (98 steps to reach 1)

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

7,342,500 3,671,250 1,835,625 5,506,876 2,753,438 1,376,719 4,130,158 2,065,079 6,195,238 3,097,619 9,292,858 4,646,429 13,939,288 6,969,644 3,484,822 1,742,411 5,227,234 2,613,617 7,840,852 3,920,426 1,960,213 5,880,640 2,940,320 1,470,160 735,080 367,540 183,770 91,885 275,656 137,828 68,914 34,457 103,372 51,686 25,843 77,530 38,765 116,296 58,148 29,074 14,537 43,612 21,806 10,903 32,710 16,355 49,066 24,533 73,600 36,800 18,400 9,200 4,600 2,300 1,150 575 1,726 863 2,590 1,295

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