λ
Harmonic Matrix

2,136,409

11 × 359 × 541
Deficient Odd Composite

2,136,409 has digital root 7. The neighboring primes are 2136391 and 2136419; its proper-divisor sum differs from the starting integer by -1,931,378.

Prime Factor Structure

Factorization String 11 × 359 × 541
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,341,440
Proper Divisor Sum 205,031
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2136391 ← → #2136419

Radix Representation

Decimal 2136409
Binary 1000001001100101011001 (22 bits)
Octal 0o10114531
Hexadecimal 0x209959

Divisor Catalog (8)

1 11 359 541 3,949 5,951 194,219 2,136,409

Collatz Trajectory (197 steps to reach 1)

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

2,136,409 6,409,228 3,204,614 1,602,307 4,806,922 2,403,461 7,210,384 3,605,192 1,802,596 901,298 450,649 1,351,948 675,974 337,987 1,013,962 506,981 1,520,944 760,472 380,236 190,118 95,059 285,178 142,589 427,768 213,884 106,942 53,471 160,414 80,207 240,622 120,311 360,934 180,467 541,402 270,701 812,104 406,052 203,026 101,513 304,540 152,270 76,135 228,406 114,203 342,610 171,305 513,916 256,958 128,479 385,438 192,719 578,158 289,079 867,238 433,619 1,300,858 650,429 1,951,288 975,644 487,822

More profiles

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