λ
Sigma Notebook

2,921,632

25 × 7 × 13043
Abundant Even Composite

2,921,632 is even and not a perfect square. Its factorization is 2^5 × 7 × 13043 and its 24 divisors sum to 6,574,176.

Prime Factor Structure

Factorization String 2^5 × 7 × 13043
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,574,176
Proper Divisor Sum 3,652,544
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2921629 ← → #2921647

Radix Representation

Decimal 2921632
Binary 1011001001010010100000 (22 bits)
Octal 0o13112240
Hexadecimal 0x2C94A0

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 13,043 26,086 52,172 91,301 104,344 182,602 208,688 365,204 417,376 730,408 1,460,816 2,921,632

Collatz Trajectory (89 steps to reach 1)

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

2,921,632 1,460,816 730,408 365,204 182,602 91,301 273,904 136,952 68,476 34,238 17,119 51,358 25,679 77,038 38,519 115,558 57,779 173,338 86,669 260,008 130,004 65,002 32,501 97,504 48,752 24,376 12,188 6,094 3,047 9,142 4,571 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86

More profiles

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