λ
Harmonic Matrix

1,267,123

11 × 13 × 8861
Deficient Odd Composite

1,267,123 has digital root 4. The neighboring primes are 1267121 and 1267127; its proper-divisor sum differs from the starting integer by -1,045,430.

Prime Factor Structure

Factorization String 11 × 13 × 8861
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,488,816
Proper Divisor Sum 221,693
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1267121 ← → #1267127

Radix Representation

Decimal 1267123
Binary 100110101010110110011 (21 bits)
Octal 0o4652663
Hexadecimal 0x1355B3

Divisor Catalog (8)

1 11 13 143 8,861 97,471 115,193 1,267,123

Collatz Trajectory (142 steps to reach 1)

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

1,267,123 3,801,370 1,900,685 5,702,056 2,851,028 1,425,514 712,757 2,138,272 1,069,136 534,568 267,284 133,642 66,821 200,464 100,232 50,116 25,058 12,529 37,588 18,794 9,397 28,192 14,096 7,048 3,524 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233

More profiles

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