218,960

2⁴ × 5 × 7 × 17 × 23

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 17 × 23

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 642,816

Proper Divisor Sum 423,856

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #218947 ← → #218963

Radix Representation

Decimal	218960
Binary	110101011101010000 (18 bits)
Octal	0o653520
Hexadecimal	0x35750

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 14 16 17 20 23 28 34 35 40 46 56 68 70 80 85 92 112 115 119 136 140 161 170 184 230 238 272 280 322 340 368 391 460 476 560 595 644 680 782 805 920 952 1,190 1,288 1,360 1,564 1,610 1,840 1,904 1,955 2,380 2,576 2,737

Collatz Trajectory (62 steps to reach 1)

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

218,960 109,480 54,740 27,370 13,685 41,056 20,528 10,264 5,132 2,566 1,283 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8

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