1,178,208

2⁵ × 3² × 4091

1,178,208 is even and not a perfect square. Its factorization is 2^5 × 3^2 × 4091 and its 36 divisors sum to 3,351,348.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 4091

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 3,351,348

Proper Divisor Sum 2,173,140

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1178207 ← → #1178213

Radix Representation

Decimal	1178208
Binary	100011111101001100000 (21 bits)
Octal	0o4375140
Hexadecimal	0x11FA60

Divisor Catalog (36)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4,091 8,182 12,273 16,364 24,546 32,728 36,819 49,092 65,456 73,638 98,184 130,912 147,276 196,368 294,552 392,736 589,104 1,178,208

Collatz Trajectory (72 steps to reach 1)

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

1,178,208 589,104 294,552 147,276 73,638 36,819 110,458 55,229 165,688 82,844 41,422 20,711 62,134 31,067 93,202 46,601 139,804 69,902 34,951 104,854 52,427 157,282 78,641 235,924 117,962 58,981 176,944 88,472 44,236 22,118 11,059 33,178 16,589 49,768 24,884 12,442 6,221 18,664 9,332 4,666 2,333 7,000 3,500 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208

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