λ
Harmonic Matrix

711,739

7 × 17 × 5981
Deficient Odd Composite

711,739 has digital root 1. The neighboring primes are 711731 and 711749; its proper-divisor sum differs from the starting integer by -562,070.

Prime Factor Structure

Factorization String 7 × 17 × 5981
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 861,408
Proper Divisor Sum 149,669
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #711731 ← → #711749

Radix Representation

Decimal 711739
Binary 10101101110000111011 (20 bits)
Octal 0o2556073
Hexadecimal 0xADC3B

Divisor Catalog (8)

1 7 17 119 5,981 41,867 101,677 711,739

Collatz Trajectory (242 steps to reach 1)

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

711,739 2,135,218 1,067,609 3,202,828 1,601,414 800,707 2,402,122 1,201,061 3,603,184 1,801,592 900,796 450,398 225,199 675,598 337,799 1,013,398 506,699 1,520,098 760,049 2,280,148 1,140,074 570,037 1,710,112 855,056 427,528 213,764 106,882 53,441 160,324 80,162 40,081 120,244 60,122 30,061 90,184 45,092 22,546 11,273 33,820 16,910 8,455 25,366 12,683 38,050 19,025 57,076 28,538 14,269 42,808 21,404 10,702 5,351 16,054 8,027 24,082 12,041 36,124 18,062 9,031 27,094

More profiles

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