λ
Harmonic Matrix

242,459

7 × 19 × 1823
Deficient Odd Composite

242,459 has digital root 8. The neighboring primes are 242453 and 242467; its proper-divisor sum differs from the starting integer by -193,078.

Prime Factor Structure

Factorization String 7 × 19 × 1823
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 291,840
Proper Divisor Sum 49,381
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #242453 ← → #242467

Radix Representation

Decimal 242459
Binary 111011001100011011 (18 bits)
Octal 0o731433
Hexadecimal 0x3B31B

Divisor Catalog (8)

1 7 19 133 1,823 12,761 34,637 242,459

Collatz Trajectory (212 steps to reach 1)

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

242,459 727,378 363,689 1,091,068 545,534 272,767 818,302 409,151 1,227,454 613,727 1,841,182 920,591 2,761,774 1,380,887 4,142,662 2,071,331 6,213,994 3,106,997 9,320,992 4,660,496 2,330,248 1,165,124 582,562 291,281 873,844 436,922 218,461 655,384 327,692 163,846 81,923 245,770 122,885 368,656 184,328 92,164 46,082 23,041 69,124 34,562 17,281 51,844 25,922 12,961 38,884 19,442 9,721 29,164 14,582 7,291 21,874 10,937 32,812 16,406 8,203 24,610 12,305 36,916 18,458 9,229

More profiles

← Previous Integer #242,458 Browse Full Index Next Integer #242,460 →