λ
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Atlas › Integer Profiles › Node 4,600,932

4,600,932

22 × 3 × 7 × 54773
Abundant Even Composite

4,600,932 factors as 2^2 × 3 × 7 × 54773. Its 24 positive divisors give a proper-divisor sum of 7,668,444, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 54773
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,269,376
Proper Divisor Sum 7,668,444
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4600901 ← → #4600933

Radix Representation

Decimal 4600932
Binary 10001100011010001100100 (23 bits)
Octal 0o21432144
Hexadecimal 0x463464

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 54,773 109,546 164,319 219,092 328,638 383,411 657,276 766,822 1,150,233 1,533,644 2,300,466 4,600,932

Collatz Trajectory (211 steps to reach 1)

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

4,600,932 2,300,466 1,150,233 3,450,700 1,725,350 862,675 2,588,026 1,294,013 3,882,040 1,941,020 970,510 485,255 1,455,766 727,883 2,183,650 1,091,825 3,275,476 1,637,738 818,869 2,456,608 1,228,304 614,152 307,076 153,538 76,769 230,308 115,154 57,577 172,732 86,366 43,183 129,550 64,775 194,326 97,163 291,490 145,745 437,236 218,618 109,309 327,928 163,964 81,982 40,991 122,974 61,487 184,462 92,231 276,694 138,347 415,042 207,521 622,564 311,282 155,641 466,924 233,462 116,731 350,194 175,097

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