λ
Sigma Notebook

4,206,016

26 × 65719
Deficient Even Composite

4,206,016 is even and not a perfect square. Its factorization is 2^6 × 65719 and its 14 divisors sum to 8,346,440.

Prime Factor Structure

Factorization String 2^6 × 65719
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 14
Divisor Sum (σ) 8,346,440
Proper Divisor Sum 4,140,424
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4205989 ← → #4206019

Radix Representation

Decimal 4206016
Binary 10000000010110111000000 (23 bits)
Octal 0o20026700
Hexadecimal 0x402DC0

Divisor Catalog (14)

1 2 4 8 16 32 64 65,719 131,438 262,876 525,752 1,051,504 2,103,008 4,206,016

Collatz Trajectory (167 steps to reach 1)

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

4,206,016 2,103,008 1,051,504 525,752 262,876 131,438 65,719 197,158 98,579 295,738 147,869 443,608 221,804 110,902 55,451 166,354 83,177 249,532 124,766 62,383 187,150 93,575 280,726 140,363 421,090 210,545 631,636 315,818 157,909 473,728 236,864 118,432 59,216 29,608 14,804 7,402 3,701 11,104 5,552 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124

More profiles

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