λ
Sigma Notebook

2,813,875

53 × 22511
Deficient Odd Composite

2,813,875 is odd and not a perfect square. Its factorization is 5^3 × 22511 and its 8 divisors sum to 3,511,872.

Prime Factor Structure

Factorization String 5^3 × 22511
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,511,872
Proper Divisor Sum 697,997
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2813851 ← → #2813879

Radix Representation

Decimal 2813875
Binary 1010101110111110110011 (22 bits)
Octal 0o12567663
Hexadecimal 0x2AEFB3

Divisor Catalog (8)

1 5 25 125 22,511 112,555 562,775 2,813,875

Collatz Trajectory (107 steps to reach 1)

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

2,813,875 8,441,626 4,220,813 12,662,440 6,331,220 3,165,610 1,582,805 4,748,416 2,374,208 1,187,104 593,552 296,776 148,388 74,194 37,097 111,292 55,646 27,823 83,470 41,735 125,206 62,603 187,810 93,905 281,716 140,858 70,429 211,288 105,644 52,822 26,411 79,234 39,617 118,852 59,426 29,713 89,140 44,570 22,285 66,856 33,428 16,714 8,357 25,072 12,536 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860

More profiles

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