215,600

2⁴ × 5² × 7² × 11

Prime Factor Structure

Factorization String 2^4 × 5^2 × 7^2 × 11

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 657,324

Proper Divisor Sum 441,724

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #215587 ← → #215617

Radix Representation

Decimal	215600
Binary	110100101000110000 (18 bits)
Octal	0o645060
Hexadecimal	0x34A30

Divisor Catalog (60 of 90)

1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 49 50 55 56 70 77 80 88 98 100 110 112 140 154 175 176 196 200 220 245 275 280 308 350 385 392 400 440 490 539 550 560 616 700 770 784 880 980 1,078 1,100 1,225 1,232 1,400

Collatz Trajectory (186 steps to reach 1)

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

215,600 107,800 53,900 26,950 13,475 40,426 20,213 60,640 30,320 15,160 7,580 3,790 1,895 5,686 2,843 8,530 4,265 12,796 6,398 3,199 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650 4,325 12,976 6,488 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370

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