λ
Harmonic Matrix

1,193,189

47 × 53 × 479
Deficient Odd Composite

1,193,189 has digital root 5. The neighboring primes are 1193183 and 1193209; its proper-divisor sum differs from the starting integer by -1,142,218.

Prime Factor Structure

Factorization String 47 × 53 × 479
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,244,160
Proper Divisor Sum 50,971
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1193183 ← → #1193209

Radix Representation

Decimal 1193189
Binary 100100011010011100101 (21 bits)
Octal 0o4432345
Hexadecimal 0x1234E5

Divisor Catalog (8)

1 47 53 479 2,491 22,513 25,387 1,193,189

Collatz Trajectory (103 steps to reach 1)

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

1,193,189 3,579,568 1,789,784 894,892 447,446 223,723 671,170 335,585 1,006,756 503,378 251,689 755,068 377,534 188,767 566,302 283,151 849,454 424,727 1,274,182 637,091 1,911,274 955,637 2,866,912 1,433,456 716,728 358,364 179,182 89,591 268,774 134,387 403,162 201,581 604,744 302,372 151,186 75,593 226,780 113,390 56,695 170,086 85,043 255,130 127,565 382,696 191,348 95,674 47,837 143,512 71,756 35,878 17,939 53,818 26,909 80,728 40,364 20,182 10,091 30,274 15,137 45,412

More profiles

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