λ
Sigma Notebook

1,187,796

22 × 3 × 312 × 103
Abundant Even Composite

1,187,796 is even and not a perfect square. Its factorization is 2^2 × 3 × 31^2 × 103 and its 36 divisors sum to 2,891,616.

Prime Factor Structure

Factorization String 2^2 × 3 × 31^2 × 103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 2,891,616
Proper Divisor Sum 1,703,820
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1187761 ← → #1187801

Radix Representation

Decimal 1187796
Binary 100100001111111010100 (21 bits)
Octal 0o4417724
Hexadecimal 0x121FD4

Divisor Catalog (36)

1 2 3 4 6 12 31 62 93 103 124 186 206 309 372 412 618 961 1,236 1,922 2,883 3,193 3,844 5,766 6,386 9,579 11,532 12,772 19,158 38,316 98,983 197,966 296,949 395,932 593,898 1,187,796

Collatz Trajectory (147 steps to reach 1)

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

1,187,796 593,898 296,949 890,848 445,424 222,712 111,356 55,678 27,839 83,518 41,759 125,278 62,639 187,918 93,959 281,878 140,939 422,818 211,409 634,228 317,114 158,557 475,672 237,836 118,918 59,459 178,378 89,189 267,568 133,784 66,892 33,446 16,723 50,170 25,085 75,256 37,628 18,814 9,407 28,222 14,111 42,334 21,167 63,502 31,751 95,254 47,627 142,882 71,441 214,324 107,162 53,581 160,744 80,372 40,186 20,093 60,280 30,140 15,070 7,535

More profiles

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