λ
Harmonic Matrix

242,915

5 × 19 × 2557
Deficient Odd Composite

242,915 has digital root 5. The neighboring primes are 242911 and 242923; its proper-divisor sum differs from the starting integer by -178,870.

Prime Factor Structure

Factorization String 5 × 19 × 2557
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 306,960
Proper Divisor Sum 64,045
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #242911 ← → #242923

Radix Representation

Decimal 242915
Binary 111011010011100011 (18 bits)
Octal 0o732343
Hexadecimal 0x3B4E3

Divisor Catalog (8)

1 5 19 95 2,557 12,785 48,583 242,915

Collatz Trajectory (75 steps to reach 1)

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

242,915 728,746 364,373 1,093,120 546,560 273,280 136,640 68,320 34,160 17,080 8,540 4,270 2,135 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44

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