λ
Sigma Notebook

5,581,215

32 × 5 × 73 × 1699
Deficient Odd Composite

5,581,215 is odd and not a perfect square. Its factorization is 3^2 × 5 × 73 × 1699 and its 24 divisors sum to 9,812,400.

Prime Factor Structure

Factorization String 3^2 × 5 × 73 × 1699
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,812,400
Proper Divisor Sum 4,231,185
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5581201 ← → #5581217

Radix Representation

Decimal 5581215
Binary 10101010010100110011111 (23 bits)
Octal 0o25224637
Hexadecimal 0x55299F

Divisor Catalog (24)

1 3 5 9 15 45 73 219 365 657 1,095 1,699 3,285 5,097 8,495 15,291 25,485 76,455 124,027 372,081 620,135 1,116,243 1,860,405 5,581,215

Collatz Trajectory (139 steps to reach 1)

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

5,581,215 16,743,646 8,371,823 25,115,470 12,557,735 37,673,206 18,836,603 56,509,810 28,254,905 84,764,716 42,382,358 21,191,179 63,573,538 31,786,769 95,360,308 47,680,154 23,840,077 71,520,232 35,760,116 17,880,058 8,940,029 26,820,088 13,410,044 6,705,022 3,352,511 10,057,534 5,028,767 15,086,302 7,543,151 22,629,454 11,314,727 33,944,182 16,972,091 50,916,274 25,458,137 76,374,412 38,187,206 19,093,603 57,280,810 28,640,405 85,921,216 42,960,608 21,480,304 10,740,152 5,370,076 2,685,038 1,342,519 4,027,558 2,013,779 6,041,338 3,020,669 9,062,008 4,531,004 2,265,502 1,132,751 3,398,254 1,699,127 5,097,382 2,548,691 7,646,074

More profiles

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