λ
Harmonic Matrix

7,013,459

23 × 304933
Deficient Odd Composite

7,013,459 has digital root 2. The neighboring primes are 7013453 and 7013473; its proper-divisor sum differs from the starting integer by -6,708,502.

Prime Factor Structure

Factorization String 23 × 304933
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,318,416
Proper Divisor Sum 304,957
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7013453 ← → #7013473

Radix Representation

Decimal 7013459
Binary 11010110000010001010011 (23 bits)
Octal 0o32602123
Hexadecimal 0x6B0453

Divisor Catalog (4)

1 23 304,933 7,013,459

Collatz Trajectory (297 steps to reach 1)

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

7,013,459 21,040,378 10,520,189 31,560,568 15,780,284 7,890,142 3,945,071 11,835,214 5,917,607 17,752,822 8,876,411 26,629,234 13,314,617 39,943,852 19,971,926 9,985,963 29,957,890 14,978,945 44,936,836 22,468,418 11,234,209 33,702,628 16,851,314 8,425,657 25,276,972 12,638,486 6,319,243 18,957,730 9,478,865 28,436,596 14,218,298 7,109,149 21,327,448 10,663,724 5,331,862 2,665,931 7,997,794 3,998,897 11,996,692 5,998,346 2,999,173 8,997,520 4,498,760 2,249,380 1,124,690 562,345 1,687,036 843,518 421,759 1,265,278 632,639 1,897,918 948,959 2,846,878 1,423,439 4,270,318 2,135,159 6,405,478 3,202,739 9,608,218

More profiles

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