λ
Harmonic Matrix

504,287

7 × 61 × 1181
Deficient Odd Composite

504,287 has digital root 8. The neighboring primes are 504269 and 504289; its proper-divisor sum differs from the starting integer by -422,302.

Prime Factor Structure

Factorization String 7 × 61 × 1181
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 586,272
Proper Divisor Sum 81,985
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #504269 ← → #504289

Radix Representation

Decimal 504287
Binary 1111011000111011111 (19 bits)
Octal 0o1730737
Hexadecimal 0x7B1DF

Divisor Catalog (8)

1 7 61 427 1,181 8,267 72,041 504,287

Collatz Trajectory (226 steps to reach 1)

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

504,287 1,512,862 756,431 2,269,294 1,134,647 3,403,942 1,701,971 5,105,914 2,552,957 7,658,872 3,829,436 1,914,718 957,359 2,872,078 1,436,039 4,308,118 2,154,059 6,462,178 3,231,089 9,693,268 4,846,634 2,423,317 7,269,952 3,634,976 1,817,488 908,744 454,372 227,186 113,593 340,780 170,390 85,195 255,586 127,793 383,380 191,690 95,845 287,536 143,768 71,884 35,942 17,971 53,914 26,957 80,872 40,436 20,218 10,109 30,328 15,164 7,582 3,791 11,374 5,687 17,062 8,531 25,594 12,797 38,392 19,196

More profiles

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