λ
Sigma Notebook

2,768,412

22 × 3 × 281 × 821
Abundant Even Composite

2,768,412 is even and not a perfect square. Its factorization is 2^2 × 3 × 281 × 821 and its 24 divisors sum to 6,490,512.

Prime Factor Structure

Factorization String 2^2 × 3 × 281 × 821
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,490,512
Proper Divisor Sum 3,722,100
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2768407 ← → #2768413

Radix Representation

Decimal 2768412
Binary 1010100011111000011100 (22 bits)
Octal 0o12437034
Hexadecimal 0x2A3E1C

Divisor Catalog (24)

1 2 3 4 6 12 281 562 821 843 1,124 1,642 1,686 2,463 3,284 3,372 4,926 9,852 230,701 461,402 692,103 922,804 1,384,206 2,768,412

Collatz Trajectory (156 steps to reach 1)

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

2,768,412 1,384,206 692,103 2,076,310 1,038,155 3,114,466 1,557,233 4,671,700 2,335,850 1,167,925 3,503,776 1,751,888 875,944 437,972 218,986 109,493 328,480 164,240 82,120 41,060 20,530 10,265 30,796 15,398 7,699 23,098 11,549 34,648 17,324 8,662 4,331 12,994 6,497 19,492 9,746 4,873 14,620 7,310 3,655 10,966 5,483 16,450 8,225 24,676 12,338 6,169 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929

More profiles

← Previous Integer #2,768,411 Browse Full Index Next Integer #2,768,413 →