λ
Harmonic Matrix

1,710,170

2 × 5 × 7 × 11 × 2221
Abundant Even Composite

1,710,170 has digital root 8. The neighboring primes are 1710167 and 1710179; its proper-divisor sum differs from the starting integer by 419,276.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 11 × 2221
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,839,616
Proper Divisor Sum 2,129,446
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1710167 ← → #1710179

Radix Representation

Decimal 1710170
Binary 110100001100001011010 (21 bits)
Octal 0o6414132
Hexadecimal 0x1A185A

Divisor Catalog (32)

1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 770 2,221 4,442 11,105 15,547 22,210 24,431 31,094 48,862 77,735 122,155 155,470 171,017 244,310 342,034 855,085 1,710,170

Collatz Trajectory (220 steps to reach 1)

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

1,710,170 855,085 2,565,256 1,282,628 641,314 320,657 961,972 480,986 240,493 721,480 360,740 180,370 90,185 270,556 135,278 67,639 202,918 101,459 304,378 152,189 456,568 228,284 114,142 57,071 171,214 85,607 256,822 128,411 385,234 192,617 577,852 288,926 144,463 433,390 216,695 650,086 325,043 975,130 487,565 1,462,696 731,348 365,674 182,837 548,512 274,256 137,128 68,564 34,282 17,141 51,424 25,712 12,856 6,428 3,214 1,607 4,822 2,411 7,234 3,617 10,852

More profiles

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