1,222,080

2⁶ × 3 × 5 × 19 × 67

1,222,080 is even and not a perfect square. Its factorization is 2^6 × 3 × 5 × 19 × 67 and its 112 divisors sum to 4,145,280.

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 19 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 4,145,280

Proper Divisor Sum 2,923,200

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #1222063 ← → #1222097

Radix Representation

Decimal	1222080
Binary	100101010010111000000 (21 bits)
Octal	0o4522700
Hexadecimal	0x12A5C0

Divisor Catalog (60 of 112)

1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 67 76 80 95 96 114 120 134 152 160 190 192 201 228 240 268 285 304 320 335 380 402 456 480 536 570 608 670 760 804 912 960 1,005 1,072 1,140 1,216 1,273 1,340

Collatz Trajectory (111 steps to reach 1)

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

1,222,080 611,040 305,520 152,760 76,380 38,190 19,095 57,286 28,643 85,930 42,965 128,896 64,448 32,224 16,112 8,056 4,028 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774

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