λ
Harmonic Matrix

1,880,159

1880159
Deficient Odd Prime

1,880,159 has digital root 5. The neighboring primes are 1880129 and 1880167; its proper-divisor sum differs from the starting integer by -1,880,158.

Prime Factor Structure

Factorization String 1880159
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,880,160
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1880129 ← → #1880167

Radix Representation

Decimal 1880159
Binary 111001011000001011111 (21 bits)
Octal 0o7130137
Hexadecimal 0x1CB05F

Divisor Catalog (2)

1 1,880,159

Collatz Trajectory (109 steps to reach 1)

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

1,880,159 5,640,478 2,820,239 8,460,718 4,230,359 12,691,078 6,345,539 19,036,618 9,518,309 28,554,928 14,277,464 7,138,732 3,569,366 1,784,683 5,354,050 2,677,025 8,031,076 4,015,538 2,007,769 6,023,308 3,011,654 1,505,827 4,517,482 2,258,741 6,776,224 3,388,112 1,694,056 847,028 423,514 211,757 635,272 317,636 158,818 79,409 238,228 119,114 59,557 178,672 89,336 44,668 22,334 11,167 33,502 16,751 50,254 25,127 75,382 37,691 113,074 56,537 169,612 84,806 42,403 127,210 63,605 190,816 95,408 47,704 23,852 11,926

More profiles

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