λ
Harmonic Matrix

2,167,247

59 × 109 × 337
Deficient Odd Composite

2,167,247 has digital root 2. The neighboring primes are 2167237 and 2167259; its proper-divisor sum differs from the starting integer by -2,103,694.

Prime Factor Structure

Factorization String 59 × 109 × 337
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,230,800
Proper Divisor Sum 63,553
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2167237 ← → #2167259

Radix Representation

Decimal 2167247
Binary 1000010001000111001111 (22 bits)
Octal 0o10210717
Hexadecimal 0x2111CF

Divisor Catalog (8)

1 59 109 337 6,431 19,883 36,733 2,167,247

Collatz Trajectory (210 steps to reach 1)

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

2,167,247 6,501,742 3,250,871 9,752,614 4,876,307 14,628,922 7,314,461 21,943,384 10,971,692 5,485,846 2,742,923 8,228,770 4,114,385 12,343,156 6,171,578 3,085,789 9,257,368 4,628,684 2,314,342 1,157,171 3,471,514 1,735,757 5,207,272 2,603,636 1,301,818 650,909 1,952,728 976,364 488,182 244,091 732,274 366,137 1,098,412 549,206 274,603 823,810 411,905 1,235,716 617,858 308,929 926,788 463,394 231,697 695,092 347,546 173,773 521,320 260,660 130,330 65,165 195,496 97,748 48,874 24,437 73,312 36,656 18,328 9,164 4,582 2,291

More profiles

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