λ
Harmonic Matrix

2,130,796

22 × 191 × 2789
Deficient Even Composite

2,130,796 has digital root 1. The neighboring primes are 2130769 and 2130803; its proper-divisor sum differs from the starting integer by -511,832.

Prime Factor Structure

Factorization String 2^2 × 191 × 2789
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,749,760
Proper Divisor Sum 1,618,964
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2130769 ← → #2130803

Radix Representation

Decimal 2130796
Binary 1000001000001101101100 (22 bits)
Octal 0o10101554
Hexadecimal 0x20836C

Divisor Catalog (12)

1 2 4 191 382 764 2,789 5,578 11,156 532,699 1,065,398 2,130,796

Collatz Trajectory (96 steps to reach 1)

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

2,130,796 1,065,398 532,699 1,598,098 799,049 2,397,148 1,198,574 599,287 1,797,862 898,931 2,696,794 1,348,397 4,045,192 2,022,596 1,011,298 505,649 1,516,948 758,474 379,237 1,137,712 568,856 284,428 142,214 71,107 213,322 106,661 319,984 159,992 79,996 39,998 19,999 59,998 29,999 89,998 44,999 134,998 67,499 202,498 101,249 303,748 151,874 75,937 227,812 113,906 56,953 170,860 85,430 42,715 128,146 64,073 192,220 96,110 48,055 144,166 72,083 216,250 108,125 324,376 162,188 81,094

More profiles

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