λ
Harmonic Matrix

250,735

5 × 50147
Deficient Odd Composite

250,735 has digital root 4. The neighboring primes are 250727 and 250739; its proper-divisor sum differs from the starting integer by -200,582.

Prime Factor Structure

Factorization String 5 × 50147
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 300,888
Proper Divisor Sum 50,153
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #250727 ← → #250739

Radix Representation

Decimal 250735
Binary 111101001101101111 (18 bits)
Octal 0o751557
Hexadecimal 0x3D36F

Divisor Catalog (4)

1 5 50,147 250,735

Collatz Trajectory (181 steps to reach 1)

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

250,735 752,206 376,103 1,128,310 564,155 1,692,466 846,233 2,538,700 1,269,350 634,675 1,904,026 952,013 2,856,040 1,428,020 714,010 357,005 1,071,016 535,508 267,754 133,877 401,632 200,816 100,408 50,204 25,102 12,551 37,654 18,827 56,482 28,241 84,724 42,362 21,181 63,544 31,772 15,886 7,943 23,830 11,915 35,746 17,873 53,620 26,810 13,405 40,216 20,108 10,054 5,027 15,082 7,541 22,624 11,312 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592

More profiles

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