λ
Harmonic Matrix

1,836,259

1836259
Deficient Odd Prime

1,836,259 has digital root 7. The neighboring primes are 1836239 and 1836271; its proper-divisor sum differs from the starting integer by -1,836,258.

Prime Factor Structure

Factorization String 1836259
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,836,260
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #1836239 ← → #1836271

Radix Representation

Decimal 1836259
Binary 111000000010011100011 (21 bits)
Octal 0o7002343
Hexadecimal 0x1C04E3

Divisor Catalog (2)

1 1,836,259

Collatz Trajectory (202 steps to reach 1)

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

1,836,259 5,508,778 2,754,389 8,263,168 4,131,584 2,065,792 1,032,896 516,448 258,224 129,112 64,556 32,278 16,139 48,418 24,209 72,628 36,314 18,157 54,472 27,236 13,618 6,809 20,428 10,214 5,107 15,322 7,661 22,984 11,492 5,746 2,873 8,620 4,310 2,155 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982

More profiles

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