λ
Prime Ledger

4,016,268

22 × 32 × 29 × 3847
Abundant Even Composite

4,016,268 has the prime decomposition 2^2 × 3^2 × 29 × 3847. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 29 × 3847
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 10,505,040
Proper Divisor Sum 6,488,772
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4016261 ← → #4016269

Radix Representation

Decimal 4016268
Binary 1111010100100010001100 (22 bits)
Octal 0o17244214
Hexadecimal 0x3D488C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1,044 3,847 7,694 11,541 15,388 23,082 34,623 46,164 69,246 111,563 138,492 223,126 334,689 446,252 669,378 1,004,067 1,338,756 2,008,134 4,016,268

Collatz Trajectory (61 steps to reach 1)

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

4,016,268 2,008,134 1,004,067 3,012,202 1,506,101 4,518,304 2,259,152 1,129,576 564,788 282,394 141,197 423,592 211,796 105,898 52,949 158,848 79,424 39,712 19,856 9,928 4,964 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4

More profiles

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