λ
Math Directory

4,564,124

22 × 1141031
Deficient Even Composite

4,564,124 factors as 2^2 × 1141031. Its 6 positive divisors give a proper-divisor sum of 3,423,100, so this integer is deficient. The Collatz stopping time is 268 steps.

Prime Factor Structure

Factorization String 2^2 × 1141031
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 7,987,224
Proper Divisor Sum 3,423,100
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4564121 ← → #4564151

Radix Representation

Decimal 4564124
Binary 10001011010010010011100 (23 bits)
Octal 0o21322234
Hexadecimal 0x45A49C

Divisor Catalog (6)

1 2 4 1,141,031 2,282,062 4,564,124

Collatz Trajectory (268 steps to reach 1)

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

4,564,124 2,282,062 1,141,031 3,423,094 1,711,547 5,134,642 2,567,321 7,701,964 3,850,982 1,925,491 5,776,474 2,888,237 8,664,712 4,332,356 2,166,178 1,083,089 3,249,268 1,624,634 812,317 2,436,952 1,218,476 609,238 304,619 913,858 456,929 1,370,788 685,394 342,697 1,028,092 514,046 257,023 771,070 385,535 1,156,606 578,303 1,734,910 867,455 2,602,366 1,301,183 3,903,550 1,951,775 5,855,326 2,927,663 8,782,990 4,391,495 13,174,486 6,587,243 19,761,730 9,880,865 29,642,596 14,821,298 7,410,649 22,231,948 11,115,974 5,557,987 16,673,962 8,336,981 25,010,944 12,505,472 6,252,736

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