λ
Sigma Notebook

2,176,895

5 × 7 × 37 × 412
Deficient Odd Composite

2,176,895 is odd and not a perfect square. Its factorization is 5 × 7 × 37 × 41^2 and its 24 divisors sum to 3,142,752.

Prime Factor Structure

Factorization String 5 × 7 × 37 × 41^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,142,752
Proper Divisor Sum 965,857
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2176891 ← → #2176921

Radix Representation

Decimal 2176895
Binary 1000010011011101111111 (22 bits)
Octal 0o10233577
Hexadecimal 0x21377F

Divisor Catalog (24)

1 5 7 35 37 41 185 205 259 287 1,295 1,435 1,517 1,681 7,585 8,405 10,619 11,767 53,095 58,835 62,197 310,985 435,379 2,176,895

Collatz Trajectory (223 steps to reach 1)

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

2,176,895 6,530,686 3,265,343 9,796,030 4,898,015 14,694,046 7,347,023 22,041,070 11,020,535 33,061,606 16,530,803 49,592,410 24,796,205 74,388,616 37,194,308 18,597,154 9,298,577 27,895,732 13,947,866 6,973,933 20,921,800 10,460,900 5,230,450 2,615,225 7,845,676 3,922,838 1,961,419 5,884,258 2,942,129 8,826,388 4,413,194 2,206,597 6,619,792 3,309,896 1,654,948 827,474 413,737 1,241,212 620,606 310,303 930,910 465,455 1,396,366 698,183 2,094,550 1,047,275 3,141,826 1,570,913 4,712,740 2,356,370 1,178,185 3,534,556 1,767,278 883,639 2,650,918 1,325,459 3,976,378 1,988,189 5,964,568 2,982,284

More profiles

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