λ
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Atlas › Integer Profiles › Node 4,797,232

4,797,232

24 × 11 × 97 × 281
Abundant Even Composite

4,797,232 factors as 2^4 × 11 × 97 × 281. Its 40 positive divisors give a proper-divisor sum of 5,483,360, so this integer is abundant. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 97 × 281
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,280,592
Proper Divisor Sum 5,483,360
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4797229 ← → #4797241

Radix Representation

Decimal 4797232
Binary 10010010011001100110000 (23 bits)
Octal 0o22231460
Hexadecimal 0x493330

Divisor Catalog (40)

1 2 4 8 11 16 22 44 88 97 176 194 281 388 562 776 1,067 1,124 1,552 2,134 2,248 3,091 4,268 4,496 6,182 8,536 12,364 17,072 24,728 27,257 49,456 54,514 109,028 218,056 299,827 436,112 599,654 1,199,308 2,398,616 4,797,232

Collatz Trajectory (206 steps to reach 1)

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

4,797,232 2,398,616 1,199,308 599,654 299,827 899,482 449,741 1,349,224 674,612 337,306 168,653 505,960 252,980 126,490 63,245 189,736 94,868 47,434 23,717 71,152 35,576 17,788 8,894 4,447 13,342 6,671 20,014 10,007 30,022 15,011 45,034 22,517 67,552 33,776 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454

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