λ
Sigma Notebook

1,217,277

32 × 31 × 4363
Deficient Odd Composite

1,217,277 is odd and not a perfect square. Its factorization is 3^2 × 31 × 4363 and its 12 divisors sum to 1,815,424.

Prime Factor Structure

Factorization String 3^2 × 31 × 4363
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,815,424
Proper Divisor Sum 598,147
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1217269 ← → #1217297

Radix Representation

Decimal 1217277
Binary 100101001001011111101 (21 bits)
Octal 0o4511375
Hexadecimal 0x1292FD

Divisor Catalog (12)

1 3 9 31 93 279 4,363 13,089 39,267 135,253 405,759 1,217,277

Collatz Trajectory (204 steps to reach 1)

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

1,217,277 3,651,832 1,825,916 912,958 456,479 1,369,438 684,719 2,054,158 1,027,079 3,081,238 1,540,619 4,621,858 2,310,929 6,932,788 3,466,394 1,733,197 5,199,592 2,599,796 1,299,898 649,949 1,949,848 974,924 487,462 243,731 731,194 365,597 1,096,792 548,396 274,198 137,099 411,298 205,649 616,948 308,474 154,237 462,712 231,356 115,678 57,839 173,518 86,759 260,278 130,139 390,418 195,209 585,628 292,814 146,407 439,222 219,611 658,834 329,417 988,252 494,126 247,063 741,190 370,595 1,111,786 555,893 1,667,680

More profiles

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