197,470

2 × 5 × 7² × 13 × 31

197,470 has digital root 1. The neighboring primes are 197453 and 197479; its proper-divisor sum differs from the starting integer by 64,708.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 13 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 459,648

Proper Divisor Sum 262,178

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #197453 ← → #197479

Radix Representation

Decimal	197470
Binary	110000001101011110 (18 bits)
Octal	0o601536
Hexadecimal	0x3035E

Divisor Catalog (48)

1 2 5 7 10 13 14 26 31 35 49 62 65 70 91 98 130 155 182 217 245 310 403 434 455 490 637 806 910 1,085 1,274 1,519 2,015 2,170 2,821 3,038 3,185 4,030 5,642 6,370 7,595 14,105 15,190 19,747 28,210 39,494 98,735 197,470

Collatz Trajectory (160 steps to reach 1)

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

197,470 98,735 296,206 148,103 444,310 222,155 666,466 333,233 999,700 499,850 249,925 749,776 374,888 187,444 93,722 46,861 140,584 70,292 35,146 17,573 52,720 26,360 13,180 6,590 3,295 9,886 4,943 14,830 7,415 22,246 11,123 33,370 16,685 50,056 25,028 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214

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