λ
Sigma Notebook

4,585,262

2 × 11 × 37 × 43 × 131
Deficient Even Composite

4,585,262 is even and not a perfect square. Its factorization is 2 × 11 × 37 × 43 × 131 and its 32 divisors sum to 7,945,344.

Prime Factor Structure

Factorization String 2 × 11 × 37 × 43 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,945,344
Proper Divisor Sum 3,360,082
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4585261 ← → #4585283

Radix Representation

Decimal 4585262
Binary 10001011111011100101110 (23 bits)
Octal 0o21373456
Hexadecimal 0x45F72E

Divisor Catalog (32)

1 2 11 22 37 43 74 86 131 262 407 473 814 946 1,441 1,591 2,882 3,182 4,847 5,633 9,694 11,266 17,501 35,002 53,317 61,963 106,634 123,926 208,421 416,842 2,292,631 4,585,262

Collatz Trajectory (193 steps to reach 1)

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

4,585,262 2,292,631 6,877,894 3,438,947 10,316,842 5,158,421 15,475,264 7,737,632 3,868,816 1,934,408 967,204 483,602 241,801 725,404 362,702 181,351 544,054 272,027 816,082 408,041 1,224,124 612,062 306,031 918,094 459,047 1,377,142 688,571 2,065,714 1,032,857 3,098,572 1,549,286 774,643 2,323,930 1,161,965 3,485,896 1,742,948 871,474 435,737 1,307,212 653,606 326,803 980,410 490,205 1,470,616 735,308 367,654 183,827 551,482 275,741 827,224 413,612 206,806 103,403 310,210 155,105 465,316 232,658 116,329 348,988 174,494

More profiles

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