λ
Match Zalai

214,273

472 × 97
Deficient Odd Composite

214,273 factors as 47^2 × 97. Its 6 positive divisors give a proper-divisor sum of 6,913, so this integer is deficient. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 47^2 × 97
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 221,186
Proper Divisor Sum 6,913
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #214259 ← → #214283

Radix Representation

Decimal 214273
Binary 110100010100000001 (18 bits)
Octal 0o642401
Hexadecimal 0x34501

Divisor Catalog (6)

1 47 97 2,209 4,559 214,273

Collatz Trajectory (72 steps to reach 1)

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

214,273 642,820 321,410 160,705 482,116 241,058 120,529 361,588 180,794 90,397 271,192 135,596 67,798 33,899 101,698 50,849 152,548 76,274 38,137 114,412 57,206 28,603 85,810 42,905 128,716 64,358 32,179 96,538 48,269 144,808 72,404 36,202 18,101 54,304 27,152 13,576 6,788 3,394 1,697 5,092 2,546 1,273 3,820 1,910 955 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

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