λ
Harmonic Matrix

6,739,273

6739273
Deficient Odd Prime

6,739,273 has digital root 1. The neighboring primes are 6739267 and 6739279; its proper-divisor sum differs from the starting integer by -6,739,272.

Prime Factor Structure

Factorization String 6739273
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,739,274
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6739267 ← → #6739279

Radix Representation

Decimal 6739273
Binary 11001101101010101001001 (23 bits)
Octal 0o31552511
Hexadecimal 0x66D549

Divisor Catalog (2)

Collatz Trajectory (116 steps to reach 1)

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

6,739,273 20,217,820 10,108,910 5,054,455 15,163,366 7,581,683 22,745,050 11,372,525 34,117,576 17,058,788 8,529,394 4,264,697 12,794,092 6,397,046 3,198,523 9,595,570 4,797,785 14,393,356 7,196,678 3,598,339 10,795,018 5,397,509 16,192,528 8,096,264 4,048,132 2,024,066 1,012,033 3,036,100 1,518,050 759,025 2,277,076 1,138,538 569,269 1,707,808 853,904 426,952 213,476 106,738 53,369 160,108 80,054 40,027 120,082 60,041 180,124 90,062 45,031 135,094 67,547 202,642 101,321 303,964 151,982 75,991 227,974 113,987 341,962 170,981 512,944 256,472

More profiles

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