λ
Harmonic Matrix

123,142

2 × 23 × 2677
Deficient Even Composite

123,142 has digital root 4. The neighboring primes are 123127 and 123143; its proper-divisor sum differs from the starting integer by -53,468.

Prime Factor Structure

Factorization String 2 × 23 × 2677
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 192,816
Proper Divisor Sum 69,674
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #123127 ← → #123143

Radix Representation

Decimal 123142
Binary 11110000100000110 (17 bits)
Octal 0o360406
Hexadecimal 0x1E106

Divisor Catalog (8)

1 2 23 46 2,677 5,354 61,571 123,142

Collatz Trajectory (61 steps to reach 1)

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

123,142 61,571 184,714 92,357 277,072 138,536 69,268 34,634 17,317 51,952 25,976 12,988 6,494 3,247 9,742 4,871 14,614 7,307 21,922 10,961 32,884 16,442 8,221 24,664 12,332 6,166 3,083 9,250 4,625 13,876 6,938 3,469 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4

More profiles

← Previous Integer #123,141 Browse Full Index Next Integer #123,143 →