λ
Harmonic Matrix

216,253

29 × 7457
Deficient Odd Composite

216,253 has digital root 1. The neighboring primes are 216233 and 216259; its proper-divisor sum differs from the starting integer by -208,766.

Prime Factor Structure

Factorization String 29 × 7457
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 223,740
Proper Divisor Sum 7,487
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #216233 ← → #216259

Radix Representation

Decimal 216253
Binary 110100110010111101 (18 bits)
Octal 0o646275
Hexadecimal 0x34CBD

Divisor Catalog (4)

1 29 7,457 216,253

Collatz Trajectory (93 steps to reach 1)

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

216,253 648,760 324,380 162,190 81,095 243,286 121,643 364,930 182,465 547,396 273,698 136,849 410,548 205,274 102,637 307,912 153,956 76,978 38,489 115,468 57,734 28,867 86,602 43,301 129,904 64,952 32,476 16,238 8,119 24,358 12,179 36,538 18,269 54,808 27,404 13,702 6,851 20,554 10,277 30,832 15,416 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229

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