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7,158,400

27 × 52 × 2237
Abundant Even Composite

7,158,400 factors as 2^7 × 5^2 × 2237. Its 48 positive divisors give a proper-divisor sum of 10,532,990, so this integer is abundant. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^7 × 5^2 × 2237
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,691,390
Proper Divisor Sum 10,532,990
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7158391 ← → #7158409

Radix Representation

Decimal 7158400
Binary 11011010011101010000000 (23 bits)
Octal 0o33235200
Hexadecimal 0x6D3A80

Divisor Catalog (48)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1,600 2,237 3,200 4,474 8,948 11,185 17,896 22,370 35,792 44,740 55,925 71,584 89,480 111,850 143,168 178,960 223,700 286,336 357,920 447,400 715,840 894,800 1,431,680 1,789,600 3,579,200 7,158,400

Collatz Trajectory (67 steps to reach 1)

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

7,158,400 3,579,200 1,789,600 894,800 447,400 223,700 111,850 55,925 167,776 83,888 41,944 20,972 10,486 5,243 15,730 7,865 23,596 11,798 5,899 17,698 8,849 26,548 13,274 6,637 19,912 9,956 4,978 2,489 7,468 3,734 1,867 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40

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