λ
Harmonic Matrix

1,115,667

33 × 7 × 5903
Deficient Odd Composite

1,115,667 has digital root 9. The neighboring primes are 1115657 and 1115683; its proper-divisor sum differs from the starting integer by -342,054.

Prime Factor Structure

Factorization String 3^3 × 7 × 5903
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,889,280
Proper Divisor Sum 773,613
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1115657 ← → #1115683

Radix Representation

Decimal 1115667
Binary 100010000011000010011 (21 bits)
Octal 0o4203023
Hexadecimal 0x110613

Divisor Catalog (16)

1 3 7 9 21 27 63 189 5,903 17,709 41,321 53,127 123,963 159,381 371,889 1,115,667

Collatz Trajectory (134 steps to reach 1)

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

1,115,667 3,347,002 1,673,501 5,020,504 2,510,252 1,255,126 627,563 1,882,690 941,345 2,824,036 1,412,018 706,009 2,118,028 1,059,014 529,507 1,588,522 794,261 2,382,784 1,191,392 595,696 297,848 148,924 74,462 37,231 111,694 55,847 167,542 83,771 251,314 125,657 376,972 188,486 94,243 282,730 141,365 424,096 212,048 106,024 53,012 26,506 13,253 39,760 19,880 9,940 4,970 2,485 7,456 3,728 1,864 932 466 233 700 350 175 526 263 790 395 1,186

More profiles

← Previous Integer #1,115,666 Browse Full Index Next Integer #1,115,668 →