λ
Sigma Notebook

8,572,002

2 × 3 × 19 × 75193
Abundant Even Composite

8,572,002 is even and not a perfect square. Its factorization is 2 × 3 × 19 × 75193 and its 16 divisors sum to 18,046,560.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 75193
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,046,560
Proper Divisor Sum 9,474,558
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8571973 ← → #8572009

Radix Representation

Decimal 8572002
Binary 100000101100110001100010 (24 bits)
Octal 0o40546142
Hexadecimal 0x82CC62

Divisor Catalog (16)

1 2 3 6 19 38 57 114 75,193 150,386 225,579 451,158 1,428,667 2,857,334 4,286,001 8,572,002

Collatz Trajectory (243 steps to reach 1)

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

8,572,002 4,286,001 12,858,004 6,429,002 3,214,501 9,643,504 4,821,752 2,410,876 1,205,438 602,719 1,808,158 904,079 2,712,238 1,356,119 4,068,358 2,034,179 6,102,538 3,051,269 9,153,808 4,576,904 2,288,452 1,144,226 572,113 1,716,340 858,170 429,085 1,287,256 643,628 321,814 160,907 482,722 241,361 724,084 362,042 181,021 543,064 271,532 135,766 67,883 203,650 101,825 305,476 152,738 76,369 229,108 114,554 57,277 171,832 85,916 42,958 21,479 64,438 32,219 96,658 48,329 144,988 72,494 36,247 108,742 54,371

More profiles

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