λ
Sigma Notebook

2,815,010

2 × 5 × 11 × 157 × 163
Deficient Even Composite

2,815,010 is even and not a perfect square. Its factorization is 2 × 5 × 11 × 157 × 163 and its 32 divisors sum to 5,596,992.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 157 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,596,992
Proper Divisor Sum 2,781,982
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2815009 ← → #2815049

Radix Representation

Decimal 2815010
Binary 1010101111010000100010 (22 bits)
Octal 0o12572042
Hexadecimal 0x2AF422

Divisor Catalog (32)

1 2 5 10 11 22 55 110 157 163 314 326 785 815 1,570 1,630 1,727 1,793 3,454 3,586 8,635 8,965 17,270 17,930 25,591 51,182 127,955 255,910 281,501 563,002 1,407,505 2,815,010

Collatz Trajectory (107 steps to reach 1)

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

2,815,010 1,407,505 4,222,516 2,111,258 1,055,629 3,166,888 1,583,444 791,722 395,861 1,187,584 593,792 296,896 148,448 74,224 37,112 18,556 9,278 4,639 13,918 6,959 20,878 10,439 31,318 15,659 46,978 23,489 70,468 35,234 17,617 52,852 26,426 13,213 39,640 19,820 9,910 4,955 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956 2,978

More profiles

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