λ
Sigma Notebook

2,145,952

25 × 67061
Deficient Even Composite

2,145,952 is even and not a perfect square. Its factorization is 2^5 × 67061 and its 12 divisors sum to 4,224,906.

Prime Factor Structure

Factorization String 2^5 × 67061
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,224,906
Proper Divisor Sum 2,078,954
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2145937 ← → #2145953

Radix Representation

Decimal 2145952
Binary 1000001011111010100000 (22 bits)
Octal 0o10137240
Hexadecimal 0x20BEA0

Divisor Catalog (12)

1 2 4 8 16 32 67,061 134,122 268,244 536,488 1,072,976 2,145,952

Collatz Trajectory (117 steps to reach 1)

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

2,145,952 1,072,976 536,488 268,244 134,122 67,061 201,184 100,592 50,296 25,148 12,574 6,287 18,862 9,431 28,294 14,147 42,442 21,221 63,664 31,832 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379

More profiles

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