λ
Harmonic Matrix

271,010

2 × 5 × 41 × 661
Deficient Even Composite

271,010 has digital root 2. The neighboring primes are 271003 and 271013; its proper-divisor sum differs from the starting integer by -41,548.

Prime Factor Structure

Factorization String 2 × 5 × 41 × 661
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 500,472
Proper Divisor Sum 229,462
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #271003 ← → #271013

Radix Representation

Decimal 271010
Binary 1000010001010100010 (19 bits)
Octal 0o1021242
Hexadecimal 0x422A2

Divisor Catalog (16)

1 2 5 10 41 82 205 410 661 1,322 3,305 6,610 27,101 54,202 135,505 271,010

Collatz Trajectory (150 steps to reach 1)

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

271,010 135,505 406,516 203,258 101,629 304,888 152,444 76,222 38,111 114,334 57,167 171,502 85,751 257,254 128,627 385,882 192,941 578,824 289,412 144,706 72,353 217,060 108,530 54,265 162,796 81,398 40,699 122,098 61,049 183,148 91,574 45,787 137,362 68,681 206,044 103,022 51,511 154,534 77,267 231,802 115,901 347,704 173,852 86,926 43,463 130,390 65,195 195,586 97,793 293,380 146,690 73,345 220,036 110,018 55,009 165,028 82,514 41,257 123,772 61,886

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