λ
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Atlas › Integer Profiles › Node 4,502,192

4,502,192

24 × 29 × 31 × 313
Abundant Even Composite

4,502,192 factors as 2^4 × 29 × 31 × 313. Its 40 positive divisors give a proper-divisor sum of 4,842,448, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^4 × 29 × 31 × 313
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 9,344,640
Proper Divisor Sum 4,842,448
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4502189 ← → #4502203

Radix Representation

Decimal 4502192
Binary 10001001011001010110000 (23 bits)
Octal 0o21131260
Hexadecimal 0x44B2B0

Divisor Catalog (40)

1 2 4 8 16 29 31 58 62 116 124 232 248 313 464 496 626 899 1,252 1,798 2,504 3,596 5,008 7,192 9,077 9,703 14,384 18,154 19,406 36,308 38,812 72,616 77,624 145,232 155,248 281,387 562,774 1,125,548 2,251,096 4,502,192

Collatz Trajectory (87 steps to reach 1)

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

4,502,192 2,251,096 1,125,548 562,774 281,387 844,162 422,081 1,266,244 633,122 316,561 949,684 474,842 237,421 712,264 356,132 178,066 89,033 267,100 133,550 66,775 200,326 100,163 300,490 150,245 450,736 225,368 112,684 56,342 28,171 84,514 42,257 126,772 63,386 31,693 95,080 47,540 23,770 11,885 35,656 17,828 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794

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