λ
Sigma Notebook

2,590,053

3 × 23 × 37537
Deficient Odd Composite

2,590,053 is odd and not a perfect square. Its factorization is 3 × 23 × 37537 and its 8 divisors sum to 3,603,648.

Prime Factor Structure

Factorization String 3 × 23 × 37537
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,603,648
Proper Divisor Sum 1,013,595
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2590051 ← → #2590079

Radix Representation

Decimal 2590053
Binary 1001111000010101100101 (22 bits)
Octal 0o11702545
Hexadecimal 0x278565

Divisor Catalog (8)

1 3 23 69 37,537 112,611 863,351 2,590,053

Collatz Trajectory (218 steps to reach 1)

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

2,590,053 7,770,160 3,885,080 1,942,540 971,270 485,635 1,456,906 728,453 2,185,360 1,092,680 546,340 273,170 136,585 409,756 204,878 102,439 307,318 153,659 460,978 230,489 691,468 345,734 172,867 518,602 259,301 777,904 388,952 194,476 97,238 48,619 145,858 72,929 218,788 109,394 54,697 164,092 82,046 41,023 123,070 61,535 184,606 92,303 276,910 138,455 415,366 207,683 623,050 311,525 934,576 467,288 233,644 116,822 58,411 175,234 87,617 262,852 131,426 65,713 197,140 98,570

More profiles

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