λ
Harmonic Matrix

1,849,279

1849279
Deficient Odd Prime

1,849,279 has digital root 4. The neighboring primes are 1849273 and 1849283; its proper-divisor sum differs from the starting integer by -1,849,278.

Prime Factor Structure

Factorization String 1849279
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,849,280
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #1849273 ← → #1849283

Radix Representation

Decimal 1849279
Binary 111000011011110111111 (21 bits)
Octal 0o7033677
Hexadecimal 0x1C37BF

Divisor Catalog (2)

Collatz Trajectory (140 steps to reach 1)

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

1,849,279 5,547,838 2,773,919 8,321,758 4,160,879 12,482,638 6,241,319 18,723,958 9,361,979 28,085,938 14,042,969 42,128,908 21,064,454 10,532,227 31,596,682 15,798,341 47,395,024 23,697,512 11,848,756 5,924,378 2,962,189 8,886,568 4,443,284 2,221,642 1,110,821 3,332,464 1,666,232 833,116 416,558 208,279 624,838 312,419 937,258 468,629 1,405,888 702,944 351,472 175,736 87,868 43,934 21,967 65,902 32,951 98,854 49,427 148,282 74,141 222,424 111,212 55,606 27,803 83,410 41,705 125,116 62,558 31,279 93,838 46,919 140,758 70,379

More profiles

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