λ
Harmonic Matrix

1,867,213

1867213
Deficient Odd Prime

1,867,213 has digital root 1. The neighboring primes are 1867211 and 1867219; its proper-divisor sum differs from the starting integer by -1,867,212.

Prime Factor Structure

Factorization String 1867213
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,867,214
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1867211 ← → #1867219

Radix Representation

Decimal 1867213
Binary 111000111110111001101 (21 bits)
Octal 0o7076715
Hexadecimal 0x1C7DCD

Divisor Catalog (2)

1 1,867,213

Collatz Trajectory (109 steps to reach 1)

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

1,867,213 5,601,640 2,800,820 1,400,410 700,205 2,100,616 1,050,308 525,154 262,577 787,732 393,866 196,933 590,800 295,400 147,700 73,850 36,925 110,776 55,388 27,694 13,847 41,542 20,771 62,314 31,157 93,472 46,736 23,368 11,684 5,842 2,921 8,764 4,382 2,191 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978

More profiles

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