λ
Harmonic Matrix

8,488,076

22 × 79 × 26861
Deficient Even Composite

8,488,076 has digital root 5. The neighboring primes are 8488063 and 8488087; its proper-divisor sum differs from the starting integer by -1,933,432.

Prime Factor Structure

Factorization String 2^2 × 79 × 26861
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,042,720
Proper Divisor Sum 6,554,644
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #8488063 ← → #8488087

Radix Representation

Decimal 8488076
Binary 100000011000010010001100 (24 bits)
Octal 0o40302214
Hexadecimal 0x81848C

Divisor Catalog (12)

1 2 4 79 158 316 26,861 53,722 107,444 2,122,019 4,244,038 8,488,076

Collatz Trajectory (106 steps to reach 1)

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

8,488,076 4,244,038 2,122,019 6,366,058 3,183,029 9,549,088 4,774,544 2,387,272 1,193,636 596,818 298,409 895,228 447,614 223,807 671,422 335,711 1,007,134 503,567 1,510,702 755,351 2,266,054 1,133,027 3,399,082 1,699,541 5,098,624 2,549,312 1,274,656 637,328 318,664 159,332 79,666 39,833 119,500 59,750 29,875 89,626 44,813 134,440 67,220 33,610 16,805 50,416 25,208 12,604 6,302 3,151 9,454 4,727 14,182 7,091 21,274 10,637 31,912 15,956 7,978 3,989 11,968 5,984 2,992 1,496

More profiles

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