λ
Match Zalai

1,710,140

22 × 5 × 37 × 2311
Abundant Even Composite

1,710,140 factors as 2^2 × 5 × 37 × 2311. Its 24 positive divisors give a proper-divisor sum of 1,979,812, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 37 × 2311
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,689,952
Proper Divisor Sum 1,979,812
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #1710139 ← → #1710161

Radix Representation

Decimal 1710140
Binary 110100001100000111100 (21 bits)
Octal 0o6414074
Hexadecimal 0x1A183C

Divisor Catalog (24)

1 2 4 5 10 20 37 74 148 185 370 740 2,311 4,622 9,244 11,555 23,110 46,220 85,507 171,014 342,028 427,535 855,070 1,710,140

Collatz Trajectory (132 steps to reach 1)

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

1,710,140 855,070 427,535 1,282,606 641,303 1,923,910 961,955 2,885,866 1,442,933 4,328,800 2,164,400 1,082,200 541,100 270,550 135,275 405,826 202,913 608,740 304,370 152,185 456,556 228,278 114,139 342,418 171,209 513,628 256,814 128,407 385,222 192,611 577,834 288,917 866,752 433,376 216,688 108,344 54,172 27,086 13,543 40,630 20,315 60,946 30,473 91,420 45,710 22,855 68,566 34,283 102,850 51,425 154,276 77,138 38,569 115,708 57,854 28,927 86,782 43,391 130,174 65,087

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