λ
Harmonic Matrix

9,613,026

2 × 33 × 67 × 2657
Abundant Even Composite

9,613,026 has digital root 9. The neighboring primes are 9613013 and 9613027; its proper-divisor sum differs from the starting integer by 2,463,228.

Prime Factor Structure

Factorization String 2 × 3^3 × 67 × 2657
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,689,280
Proper Divisor Sum 12,076,254
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9613013 ← → #9613027

Radix Representation

Decimal 9613026
Binary 100100101010111011100010 (24 bits)
Octal 0o44527342
Hexadecimal 0x92AEE2

Divisor Catalog (32)

1 2 3 6 9 18 27 54 67 134 201 402 603 1,206 1,809 2,657 3,618 5,314 7,971 15,942 23,913 47,826 71,739 143,478 178,019 356,038 534,057 1,068,114 1,602,171 3,204,342 4,806,513 9,613,026

Collatz Trajectory (119 steps to reach 1)

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

9,613,026 4,806,513 14,419,540 7,209,770 3,604,885 10,814,656 5,407,328 2,703,664 1,351,832 675,916 337,958 168,979 506,938 253,469 760,408 380,204 190,102 95,051 285,154 142,577 427,732 213,866 106,933 320,800 160,400 80,200 40,100 20,050 10,025 30,076 15,038 7,519 22,558 11,279 33,838 16,919 50,758 25,379 76,138 38,069 114,208 57,104 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283

More profiles

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