λ
Harmonic Matrix

505,079

41 × 97 × 127
Deficient Odd Composite

505,079 has digital root 8. The neighboring primes are 505073 and 505091; its proper-divisor sum differs from the starting integer by -483,310.

Prime Factor Structure

Factorization String 41 × 97 × 127
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 526,848
Proper Divisor Sum 21,769
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #505073 ← → #505091

Radix Representation

Decimal 505079
Binary 1111011010011110111 (19 bits)
Octal 0o1732367
Hexadecimal 0x7B4F7

Divisor Catalog (8)

1 41 97 127 3,977 5,207 12,319 505,079

Collatz Trajectory (182 steps to reach 1)

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

505,079 1,515,238 757,619 2,272,858 1,136,429 3,409,288 1,704,644 852,322 426,161 1,278,484 639,242 319,621 958,864 479,432 239,716 119,858 59,929 179,788 89,894 44,947 134,842 67,421 202,264 101,132 50,566 25,283 75,850 37,925 113,776 56,888 28,444 14,222 7,111 21,334 10,667 32,002 16,001 48,004 24,002 12,001 36,004 18,002 9,001 27,004 13,502 6,751 20,254 10,127 30,382 15,191 45,574 22,787 68,362 34,181 102,544 51,272 25,636 12,818 6,409 19,228

More profiles

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