λ
Harmonic Matrix

1,380,407

7 × 19 × 97 × 107
Deficient Odd Composite

1,380,407 has digital root 5. The neighboring primes are 1380397 and 1380419; its proper-divisor sum differs from the starting integer by -1,067,374.

Prime Factor Structure

Factorization String 7 × 19 × 97 × 107
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,693,440
Proper Divisor Sum 313,033
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1380397 ← → #1380419

Radix Representation

Decimal 1380407
Binary 101010001000000110111 (21 bits)
Octal 0o5210067
Hexadecimal 0x151037

Divisor Catalog (16)

1 7 19 97 107 133 679 749 1,843 2,033 10,379 12,901 14,231 72,653 197,201 1,380,407

Collatz Trajectory (137 steps to reach 1)

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

1,380,407 4,141,222 2,070,611 6,211,834 3,105,917 9,317,752 4,658,876 2,329,438 1,164,719 3,494,158 1,747,079 5,241,238 2,620,619 7,861,858 3,930,929 11,792,788 5,896,394 2,948,197 8,844,592 4,422,296 2,211,148 1,105,574 552,787 1,658,362 829,181 2,487,544 1,243,772 621,886 310,943 932,830 466,415 1,399,246 699,623 2,098,870 1,049,435 3,148,306 1,574,153 4,722,460 2,361,230 1,180,615 3,541,846 1,770,923 5,312,770 2,656,385 7,969,156 3,984,578 1,992,289 5,976,868 2,988,434 1,494,217 4,482,652 2,241,326 1,120,663 3,361,990 1,680,995 5,042,986 2,521,493 7,564,480 3,782,240 1,891,120

More profiles

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