λ
Harmonic Matrix

273,941

273941
Deficient Odd Prime

273,941 has digital root 8. The neighboring primes are 273929 and 273943; its proper-divisor sum differs from the starting integer by -273,940.

Prime Factor Structure

Factorization String 273941
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 273,942
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #273929 ← → #273943

Radix Representation

Decimal 273941
Binary 1000010111000010101 (19 bits)
Octal 0o1027025
Hexadecimal 0x42E15

Divisor Catalog (2)

Collatz Trajectory (168 steps to reach 1)

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

273,941 821,824 410,912 205,456 102,728 51,364 25,682 12,841 38,524 19,262 9,631 28,894 14,447 43,342 21,671 65,014 32,507 97,522 48,761 146,284 73,142 36,571 109,714 54,857 164,572 82,286 41,143 123,430 61,715 185,146 92,573 277,720 138,860 69,430 34,715 104,146 52,073 156,220 78,110 39,055 117,166 58,583 175,750 87,875 263,626 131,813 395,440 197,720 98,860 49,430 24,715 74,146 37,073 111,220 55,610 27,805 83,416 41,708 20,854 10,427

More profiles

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