λ
Sigma Notebook

7,168,400

24 × 52 × 17921
Abundant Even Composite

7,168,400 is even and not a perfect square. Its factorization is 2^4 × 5^2 × 17921 and its 30 divisors sum to 17,223,042.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 17921
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 17,223,042
Proper Divisor Sum 10,054,642
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7168391 ← → #7168411

Radix Representation

Decimal 7168400
Binary 11011010110000110010000 (23 bits)
Octal 0o33260620
Hexadecimal 0x6D6190

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 17,921 35,842 71,684 89,605 143,368 179,210 286,736 358,420 448,025 716,840 896,050 1,433,680 1,792,100 3,584,200 7,168,400

Collatz Trajectory (142 steps to reach 1)

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

7,168,400 3,584,200 1,792,100 896,050 448,025 1,344,076 672,038 336,019 1,008,058 504,029 1,512,088 756,044 378,022 189,011 567,034 283,517 850,552 425,276 212,638 106,319 318,958 159,479 478,438 239,219 717,658 358,829 1,076,488 538,244 269,122 134,561 403,684 201,842 100,921 302,764 151,382 75,691 227,074 113,537 340,612 170,306 85,153 255,460 127,730 63,865 191,596 95,798 47,899 143,698 71,849 215,548 107,774 53,887 161,662 80,831 242,494 121,247 363,742 181,871 545,614 272,807

More profiles

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