4,679,745

3 × 5 × 7² × 6367

4,679,745 has the prime decomposition 3 × 5 × 7^2 × 6367. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 6367

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,711,424

Proper Divisor Sum 4,031,679

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #4679711 ← → #4679747

Radix Representation

Decimal	4679745
Binary	10001110110100001000001 (23 bits)
Octal	0o21664101
Hexadecimal	0x476841

Divisor Catalog (24)

1 3 5 7 15 21 35 49 105 147 245 735 6,367 19,101 31,835 44,569 95,505 133,707 222,845 311,983 668,535 935,949 1,559,915 4,679,745

Collatz Trajectory (206 steps to reach 1)

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

4,679,745 14,039,236 7,019,618 3,509,809 10,529,428 5,264,714 2,632,357 7,897,072 3,948,536 1,974,268 987,134 493,567 1,480,702 740,351 2,221,054 1,110,527 3,331,582 1,665,791 4,997,374 2,498,687 7,496,062 3,748,031 11,244,094 5,622,047 16,866,142 8,433,071 25,299,214 12,649,607 37,948,822 18,974,411 56,923,234 28,461,617 85,384,852 42,692,426 21,346,213 64,038,640 32,019,320 16,009,660 8,004,830 4,002,415 12,007,246 6,003,623 18,010,870 9,005,435 27,016,306 13,508,153 40,524,460 20,262,230 10,131,115 30,393,346 15,196,673 45,590,020 22,795,010 11,397,505 34,192,516 17,096,258 8,548,129 25,644,388 12,822,194 6,411,097

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