λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,709,320

1,709,320

23 × 5 × 151 × 283
Abundant Even Composite

1,709,320 factors as 2^3 × 5 × 151 × 283. Its 32 positive divisors give a proper-divisor sum of 2,175,800, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 151 × 283
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,885,120
Proper Divisor Sum 2,175,800
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1709317 ← → #1709321

Radix Representation

Decimal 1709320
Binary 110100001010100001000 (21 bits)
Octal 0o6412410
Hexadecimal 0x1A1508

Divisor Catalog (32)

1 2 4 5 8 10 20 40 151 283 302 566 604 755 1,132 1,208 1,415 1,510 2,264 2,830 3,020 5,660 6,040 11,320 42,733 85,466 170,932 213,665 341,864 427,330 854,660 1,709,320

Collatz Trajectory (101 steps to reach 1)

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

1,709,320 854,660 427,330 213,665 640,996 320,498 160,249 480,748 240,374 120,187 360,562 180,281 540,844 270,422 135,211 405,634 202,817 608,452 304,226 152,113 456,340 228,170 114,085 342,256 171,128 85,564 42,782 21,391 64,174 32,087 96,262 48,131 144,394 72,197 216,592 108,296 54,148 27,074 13,537 40,612 20,306 10,153 30,460 15,230 7,615 22,846 11,423 34,270 17,135 51,406 25,703 77,110 38,555 115,666 57,833 173,500 86,750 43,375 130,126 65,063

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