λ
Harmonic Matrix

335,131

335131
Deficient Odd Prime

335,131 has digital root 7. The neighboring primes are 335123 and 335149; its proper-divisor sum differs from the starting integer by -335,130.

Prime Factor Structure

Factorization String 335131
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 335,132
Proper Divisor Sum 1
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #335123 ← → #335149

Radix Representation

Decimal 335131
Binary 1010001110100011011 (19 bits)
Octal 0o1216433
Hexadecimal 0x51D1B

Divisor Catalog (2)

Collatz Trajectory (91 steps to reach 1)

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

335,131 1,005,394 502,697 1,508,092 754,046 377,023 1,131,070 565,535 1,696,606 848,303 2,544,910 1,272,455 3,817,366 1,908,683 5,726,050 2,863,025 8,589,076 4,294,538 2,147,269 6,441,808 3,220,904 1,610,452 805,226 402,613 1,207,840 603,920 301,960 150,980 75,490 37,745 113,236 56,618 28,309 84,928 42,464 21,232 10,616 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128

More profiles

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