1,478,208

2⁶ × 3 × 7699

1,478,208 has the prime decomposition 2^6 × 3 × 7699. Its 3 distinct prime factors produce 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3 × 7699

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 3,911,600

Proper Divisor Sum 2,433,392

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1478207 ← → #1478209

Radix Representation

Decimal	1478208
Binary	101101000111001000000 (21 bits)
Octal	0o5507100
Hexadecimal	0x168E40

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 7,699 15,398 23,097 30,796 46,194 61,592 92,388 123,184 184,776 246,368 369,552 492,736 739,104 1,478,208

Collatz Trajectory (62 steps to reach 1)

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

1,478,208 739,104 369,552 184,776 92,388 46,194 23,097 69,292 34,646 17,323 51,970 25,985 77,956 38,978 19,489 58,468 29,234 14,617 43,852 21,926 10,963 32,890 16,445 49,336 24,668 12,334 6,167 18,502 9,251 27,754 13,877 41,632 20,816 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8

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