λ
Harmonic Matrix

1,276,180

22 × 5 × 63809
Abundant Even Composite

1,276,180 has digital root 7. The neighboring primes are 1276169 and 1276183; its proper-divisor sum differs from the starting integer by 127,660.

Prime Factor Structure

Factorization String 2^2 × 5 × 63809
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,680,020
Proper Divisor Sum 1,403,840
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1276169 ← → #1276183

Radix Representation

Decimal 1276180
Binary 100110111100100010100 (21 bits)
Octal 0o4674424
Hexadecimal 0x137914

Divisor Catalog (12)

1 2 4 5 10 20 63,809 127,618 255,236 319,045 638,090 1,276,180

Collatz Trajectory (80 steps to reach 1)

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

1,276,180 638,090 319,045 957,136 478,568 239,284 119,642 59,821 179,464 89,732 44,866 22,433 67,300 33,650 16,825 50,476 25,238 12,619 37,858 18,929 56,788 28,394 14,197 42,592 21,296 10,648 5,324 2,662 1,331 3,994 1,997 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38

More profiles

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