λ
Harmonic Matrix

228,847

228847
Deficient Odd Prime

228,847 has digital root 4. The neighboring primes are 228841 and 228853; its proper-divisor sum differs from the starting integer by -228,846.

Prime Factor Structure

Factorization String 228847
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 228,848
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #228841 ← → #228853

Radix Representation

Decimal 228847
Binary 110111110111101111 (18 bits)
Octal 0o676757
Hexadecimal 0x37DEF

Divisor Catalog (2)

Collatz Trajectory (168 steps to reach 1)

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

228,847 686,542 343,271 1,029,814 514,907 1,544,722 772,361 2,317,084 1,158,542 579,271 1,737,814 868,907 2,606,722 1,303,361 3,910,084 1,955,042 977,521 2,932,564 1,466,282 733,141 2,199,424 1,099,712 549,856 274,928 137,464 68,732 34,366 17,183 51,550 25,775 77,326 38,663 115,990 57,995 173,986 86,993 260,980 130,490 65,245 195,736 97,868 48,934 24,467 73,402 36,701 110,104 55,052 27,526 13,763 41,290 20,645 61,936 30,968 15,484 7,742 3,871 11,614 5,807 17,422 8,711

More profiles

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