λ
Ratio Atlas

686,714

2 × 7 × 181 × 271
Deficient Even Composite

686,714 factors as 2 × 7 × 181 × 271. Its 16 positive divisors give a proper-divisor sum of 501,382, so this integer is deficient. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2 × 7 × 181 × 271
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,188,096
Proper Divisor Sum 501,382
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #686687 ← → #686723

Radix Representation

Decimal 686714
Binary 10100111101001111010 (20 bits)
Octal 0o2475172
Hexadecimal 0xA7A7A

Divisor Catalog (16)

1 2 7 14 181 271 362 542 1,267 1,897 2,534 3,794 49,051 98,102 343,357 686,714

Collatz Trajectory (154 steps to reach 1)

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

686,714 343,357 1,030,072 515,036 257,518 128,759 386,278 193,139 579,418 289,709 869,128 434,564 217,282 108,641 325,924 162,962 81,481 244,444 122,222 61,111 183,334 91,667 275,002 137,501 412,504 206,252 103,126 51,563 154,690 77,345 232,036 116,018 58,009 174,028 87,014 43,507 130,522 65,261 195,784 97,892 48,946 24,473 73,420 36,710 18,355 55,066 27,533 82,600 41,300 20,650 10,325 30,976 15,488 7,744 3,872 1,936 968 484 242 121

More profiles

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