λ
Harmonic Matrix

3,079,615

5 × 7 × 11 × 19 × 421
Deficient Odd Composite

3,079,615 has digital root 4. The neighboring primes are 3079613 and 3079619; its proper-divisor sum differs from the starting integer by -1,297,790.

Prime Factor Structure

Factorization String 5 × 7 × 11 × 19 × 421
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,861,440
Proper Divisor Sum 1,781,825
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3079613 ← → #3079619

Radix Representation

Decimal 3079615
Binary 1011101111110110111111 (22 bits)
Octal 0o13576677
Hexadecimal 0x2EFDBF

Divisor Catalog (32)

1 5 7 11 19 35 55 77 95 133 209 385 421 665 1,045 1,463 2,105 2,947 4,631 7,315 7,999 14,735 23,155 32,417 39,995 55,993 87,989 162,085 279,965 439,945 615,923 3,079,615

Collatz Trajectory (164 steps to reach 1)

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

3,079,615 9,238,846 4,619,423 13,858,270 6,929,135 20,787,406 10,393,703 31,181,110 15,590,555 46,771,666 23,385,833 70,157,500 35,078,750 17,539,375 52,618,126 26,309,063 78,927,190 39,463,595 118,390,786 59,195,393 177,586,180 88,793,090 44,396,545 133,189,636 66,594,818 33,297,409 99,892,228 49,946,114 24,973,057 74,919,172 37,459,586 18,729,793 56,189,380 28,094,690 14,047,345 42,142,036 21,071,018 10,535,509 31,606,528 15,803,264 7,901,632 3,950,816 1,975,408 987,704 493,852 246,926 123,463 370,390 185,195 555,586 277,793 833,380 416,690 208,345 625,036 312,518 156,259 468,778 234,389 703,168

More profiles

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