λ
Harmonic Matrix

142,003

211 × 673
Deficient Odd Composite

142,003 has digital root 1. The neighboring primes are 141991 and 142007; its proper-divisor sum differs from the starting integer by -141,118.

Prime Factor Structure

Factorization String 211 × 673
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 142,888
Proper Divisor Sum 885
Digit Sum / Digital Root 10 (Root: 1)
Adjacent Primes #141991 ← → #142007

Radix Representation

Decimal 142003
Binary 100010101010110011 (18 bits)
Octal 0o425263
Hexadecimal 0x22AB3

Divisor Catalog (4)

1 211 673 142,003

Collatz Trajectory (219 steps to reach 1)

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

142,003 426,010 213,005 639,016 319,508 159,754 79,877 239,632 119,816 59,908 29,954 14,977 44,932 22,466 11,233 33,700 16,850 8,425 25,276 12,638 6,319 18,958 9,479 28,438 14,219 42,658 21,329 63,988 31,994 15,997 47,992 23,996 11,998 5,999 17,998 8,999 26,998 13,499 40,498 20,249 60,748 30,374 15,187 45,562 22,781 68,344 34,172 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880 32,440

More profiles

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