λ
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Atlas › Integer Profiles › Node 171,740

171,740

22 × 5 × 31 × 277
Abundant Even Composite

171,740 factors as 2^2 × 5 × 31 × 277. Its 24 positive divisors give a proper-divisor sum of 201,892, so this integer is abundant. The Collatz stopping time is 51 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 31 × 277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 373,632
Proper Divisor Sum 201,892
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #171733 ← → #171757

Radix Representation

Decimal 171740
Binary 101001111011011100 (18 bits)
Octal 0o517334
Hexadecimal 0x29EDC

Divisor Catalog (24)

1 2 4 5 10 20 31 62 124 155 277 310 554 620 1,108 1,385 2,770 5,540 8,587 17,174 34,348 42,935 85,870 171,740

Collatz Trajectory (51 steps to reach 1)

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

171,740 85,870 42,935 128,806 64,403 193,210 96,605 289,816 144,908 72,454 36,227 108,682 54,341 163,024 81,512 40,756 20,378 10,189 30,568 15,284 7,642 3,821 11,464 5,732 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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