1,211,200

2⁶ × 5² × 757

1,211,200 has the prime decomposition 2^6 × 5^2 × 757. Its 3 distinct prime factors produce 42 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 5^2 × 757

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 42

Divisor Sum (σ) 2,984,246

Proper Divisor Sum 1,773,046

Digit Sum / Digital Root 7 (Root: 7)

Adjacent Primes #1211191 ← → #1211207

Radix Representation

Decimal	1211200
Binary	100100111101101000000 (21 bits)
Octal	0o4475500
Hexadecimal	0x127B40

Divisor Catalog (42)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 757 800 1,514 1,600 3,028 3,785 6,056 7,570 12,112 15,140 18,925 24,224 30,280 37,850 48,448 60,560 75,700 121,120 151,400 242,240 302,800 605,600 1,211,200

Collatz Trajectory (67 steps to reach 1)

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

1,211,200 605,600 302,800 151,400 75,700 37,850 18,925 56,776 28,388 14,194 7,097 21,292 10,646 5,323 15,970 7,985 23,956 11,978 5,989 17,968 8,984 4,492 2,246 1,123 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

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