λ
Harmonic Matrix

1,249,065

32 × 5 × 41 × 677
Deficient Odd Composite

1,249,065 has digital root 9. The neighboring primes are 1249063 and 1249091; its proper-divisor sum differs from the starting integer by -277,002.

Prime Factor Structure

Factorization String 3^2 × 5 × 41 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,221,128
Proper Divisor Sum 972,063
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1249063 ← → #1249091

Radix Representation

Decimal 1249065
Binary 100110000111100101001 (21 bits)
Octal 0o4607451
Hexadecimal 0x130F29

Divisor Catalog (24)

1 3 5 9 15 41 45 123 205 369 615 677 1,845 2,031 3,385 6,093 10,155 27,757 30,465 83,271 138,785 249,813 416,355 1,249,065

Collatz Trajectory (160 steps to reach 1)

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

1,249,065 3,747,196 1,873,598 936,799 2,810,398 1,405,199 4,215,598 2,107,799 6,323,398 3,161,699 9,485,098 4,742,549 14,227,648 7,113,824 3,556,912 1,778,456 889,228 444,614 222,307 666,922 333,461 1,000,384 500,192 250,096 125,048 62,524 31,262 15,631 46,894 23,447 70,342 35,171 105,514 52,757 158,272 79,136 39,568 19,784 9,892 4,946 2,473 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928

More profiles

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