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Atlas › Integer Profiles › Node 4,771,320

4,771,320

23 × 3 × 5 × 39761
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 39761
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,314,320
Proper Divisor Sum 9,543,000
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4771307 ← → #4771321

Radix Representation

Decimal 4771320
Binary 10010001100110111111000 (23 bits)
Octal 0o22146770
Hexadecimal 0x48CDF8

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 39,761 79,522 119,283 159,044 198,805 238,566 318,088 397,610 477,132 596,415 795,220 954,264 1,192,830 1,590,440 2,385,660 4,771,320

Collatz Trajectory (374 steps to reach 1)

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

4,771,320 2,385,660 1,192,830 596,415 1,789,246 894,623 2,683,870 1,341,935 4,025,806 2,012,903 6,038,710 3,019,355 9,058,066 4,529,033 13,587,100 6,793,550 3,396,775 10,190,326 5,095,163 15,285,490 7,642,745 22,928,236 11,464,118 5,732,059 17,196,178 8,598,089 25,794,268 12,897,134 6,448,567 19,345,702 9,672,851 29,018,554 14,509,277 43,527,832 21,763,916 10,881,958 5,440,979 16,322,938 8,161,469 24,484,408 12,242,204 6,121,102 3,060,551 9,181,654 4,590,827 13,772,482 6,886,241 20,658,724 10,329,362 5,164,681 15,494,044 7,747,022 3,873,511 11,620,534 5,810,267 17,430,802 8,715,401 26,146,204 13,073,102 6,536,551

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