λ
Match Zalai

707,873

707873
Deficient Odd Prime

707,873 factors as 707873. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 707873
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 707,874
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #707869 ← → #707887

Radix Representation

Decimal 707873
Binary 10101100110100100001 (20 bits)
Octal 0o2546441
Hexadecimal 0xACD21

Divisor Catalog (2)

Collatz Trajectory (149 steps to reach 1)

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

707,873 2,123,620 1,061,810 530,905 1,592,716 796,358 398,179 1,194,538 597,269 1,791,808 895,904 447,952 223,976 111,988 55,994 27,997 83,992 41,996 20,998 10,499 31,498 15,749 47,248 23,624 11,812 5,906 2,953 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963

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