264,628

2² × 7 × 13 × 727

264,628 has digital root 1. The neighboring primes are 264619 and 264631; its proper-divisor sum differs from the starting integer by 41,496.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 727

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 570,752

Proper Divisor Sum 306,124

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #264619 ← → #264631

Radix Representation

Decimal	264628
Binary	1000000100110110100 (19 bits)
Octal	0o1004664
Hexadecimal	0x409B4

Divisor Catalog (24)

1 2 4 7 13 14 26 28 52 91 182 364 727 1,454 2,908 5,089 9,451 10,178 18,902 20,356 37,804 66,157 132,314 264,628

Collatz Trajectory (145 steps to reach 1)

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

264,628 132,314 66,157 198,472 99,236 49,618 24,809 74,428 37,214 18,607 55,822 27,911 83,734 41,867 125,602 62,801 188,404 94,202 47,101 141,304 70,652 35,326 17,663 52,990 26,495 79,486 39,743 119,230 59,615 178,846 89,423 268,270 134,135 402,406 201,203 603,610 301,805 905,416 452,708 226,354 113,177 339,532 169,766 84,883 254,650 127,325 381,976 190,988 95,494 47,747 143,242 71,621 214,864 107,432 53,716 26,858 13,429 40,288 20,144 10,072

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