λ
Harmonic Matrix

1,115,777

13 × 85829
Deficient Odd Composite

1,115,777 has digital root 2. The neighboring primes are 1115773 and 1115789; its proper-divisor sum differs from the starting integer by -1,029,934.

Prime Factor Structure

Factorization String 13 × 85829
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,201,620
Proper Divisor Sum 85,843
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1115773 ← → #1115789

Radix Representation

Decimal 1115777
Binary 100010000011010000001 (21 bits)
Octal 0o4203201
Hexadecimal 0x110681

Divisor Catalog (4)

1 13 85,829 1,115,777

Collatz Trajectory (165 steps to reach 1)

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

1,115,777 3,347,332 1,673,666 836,833 2,510,500 1,255,250 627,625 1,882,876 941,438 470,719 1,412,158 706,079 2,118,238 1,059,119 3,177,358 1,588,679 4,766,038 2,383,019 7,149,058 3,574,529 10,723,588 5,361,794 2,680,897 8,042,692 4,021,346 2,010,673 6,032,020 3,016,010 1,508,005 4,524,016 2,262,008 1,131,004 565,502 282,751 848,254 424,127 1,272,382 636,191 1,908,574 954,287 2,862,862 1,431,431 4,294,294 2,147,147 6,441,442 3,220,721 9,662,164 4,831,082 2,415,541 7,246,624 3,623,312 1,811,656 905,828 452,914 226,457 679,372 339,686 169,843 509,530 254,765

More profiles

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