λ
Sigma Notebook

1,221,595

5 × 41 × 59 × 101
Deficient Odd Composite

1,221,595 is odd and not a perfect square. Its factorization is 5 × 41 × 59 × 101 and its 16 divisors sum to 1,542,240.

Prime Factor Structure

Factorization String 5 × 41 × 59 × 101
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,542,240
Proper Divisor Sum 320,645
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1221593 ← → #1221601

Radix Representation

Decimal 1221595
Binary 100101010001111011011 (21 bits)
Octal 0o4521733
Hexadecimal 0x12A3DB

Divisor Catalog (16)

1 5 41 59 101 205 295 505 2,419 4,141 5,959 12,095 20,705 29,795 244,319 1,221,595

Collatz Trajectory (222 steps to reach 1)

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

1,221,595 3,664,786 1,832,393 5,497,180 2,748,590 1,374,295 4,122,886 2,061,443 6,184,330 3,092,165 9,276,496 4,638,248 2,319,124 1,159,562 579,781 1,739,344 869,672 434,836 217,418 108,709 326,128 163,064 81,532 40,766 20,383 61,150 30,575 91,726 45,863 137,590 68,795 206,386 103,193 309,580 154,790 77,395 232,186 116,093 348,280 174,140 87,070 43,535 130,606 65,303 195,910 97,955 293,866 146,933 440,800 220,400 110,200 55,100 27,550 13,775 41,326 20,663 61,990 30,995 92,986 46,493

More profiles

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