λ
Harmonic Matrix

288,137

288137
Deficient Odd Prime

288,137 has digital root 2. The neighboring primes are 288109 and 288179; its proper-divisor sum differs from the starting integer by -288,136.

Prime Factor Structure

Factorization String 288137
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 288,138
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #288109 ← → #288179

Radix Representation

Decimal 288137
Binary 1000110010110001001 (19 bits)
Octal 0o1062611
Hexadecimal 0x46589

Divisor Catalog (2)

Collatz Trajectory (189 steps to reach 1)

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

288,137 864,412 432,206 216,103 648,310 324,155 972,466 486,233 1,458,700 729,350 364,675 1,094,026 547,013 1,641,040 820,520 410,260 205,130 102,565 307,696 153,848 76,924 38,462 19,231 57,694 28,847 86,542 43,271 129,814 64,907 194,722 97,361 292,084 146,042 73,021 219,064 109,532 54,766 27,383 82,150 41,075 123,226 61,613 184,840 92,420 46,210 23,105 69,316 34,658 17,329 51,988 25,994 12,997 38,992 19,496 9,748 4,874 2,437 7,312 3,656 1,828

More profiles

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