λ
Harmonic Matrix

287,734

2 × 47 × 3061
Deficient Even Composite

287,734 has digital root 4. The neighboring primes are 287731 and 287747; its proper-divisor sum differs from the starting integer by -134,540.

Prime Factor Structure

Factorization String 2 × 47 × 3061
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 440,928
Proper Divisor Sum 153,194
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #287731 ← → #287747

Radix Representation

Decimal 287734
Binary 1000110001111110110 (19 bits)
Octal 0o1061766
Hexadecimal 0x463F6

Divisor Catalog (8)

1 2 47 94 3,061 6,122 143,867 287,734

Collatz Trajectory (189 steps to reach 1)

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

287,734 143,867 431,602 215,801 647,404 323,702 161,851 485,554 242,777 728,332 364,166 182,083 546,250 273,125 819,376 409,688 204,844 102,422 51,211 153,634 76,817 230,452 115,226 57,613 172,840 86,420 43,210 21,605 64,816 32,408 16,204 8,102 4,051 12,154 6,077 18,232 9,116 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960

More profiles

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