λ
Sigma Notebook

1,567,878

2 × 3 × 13 × 20101
Abundant Even Composite

1,567,878 is even and not a perfect square. Its factorization is 2 × 3 × 13 × 20101 and its 16 divisors sum to 3,377,136.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 20101
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,377,136
Proper Divisor Sum 1,809,258
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #1567847 ← → #1567901

Radix Representation

Decimal 1567878
Binary 101111110110010000110 (21 bits)
Octal 0o5766206
Hexadecimal 0x17EC86

Divisor Catalog (16)

1 2 3 6 13 26 39 78 20,101 40,202 60,303 120,606 261,313 522,626 783,939 1,567,878

Collatz Trajectory (194 steps to reach 1)

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

1,567,878 783,939 2,351,818 1,175,909 3,527,728 1,763,864 881,932 440,966 220,483 661,450 330,725 992,176 496,088 248,044 124,022 62,011 186,034 93,017 279,052 139,526 69,763 209,290 104,645 313,936 156,968 78,484 39,242 19,621 58,864 29,432 14,716 7,358 3,679 11,038 5,519 16,558 8,279 24,838 12,419 37,258 18,629 55,888 27,944 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660

More profiles

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