λ
Harmonic Matrix

1,276,480

26 × 5 × 3989
Abundant Even Composite

1,276,480 has digital root 1. The neighboring primes are 1276447 and 1276481; its proper-divisor sum differs from the starting integer by 487,420.

Prime Factor Structure

Factorization String 2^6 × 5 × 3989
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 3,040,380
Proper Divisor Sum 1,763,900
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1276447 ← → #1276481

Radix Representation

Decimal 1276480
Binary 100110111101001000000 (21 bits)
Octal 0o4675100
Hexadecimal 0x137A40

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 320 3,989 7,978 15,956 19,945 31,912 39,890 63,824 79,780 127,648 159,560 255,296 319,120 638,240 1,276,480

Collatz Trajectory (124 steps to reach 1)

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

1,276,480 638,240 319,120 159,560 79,780 39,890 19,945 59,836 29,918 14,959 44,878 22,439 67,318 33,659 100,978 50,489 151,468 75,734 37,867 113,602 56,801 170,404 85,202 42,601 127,804 63,902 31,951 95,854 47,927 143,782 71,891 215,674 107,837 323,512 161,756 80,878 40,439 121,318 60,659 181,978 90,989 272,968 136,484 68,242 34,121 102,364 51,182 25,591 76,774 38,387 115,162 57,581 172,744 86,372 43,186 21,593 64,780 32,390 16,195 48,586

More profiles

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