2,527,562

2 × 23² × 2389

2,527,562 factors as 2 × 23^2 × 2389. Its 12 positive divisors give a proper-divisor sum of 1,437,448, so this integer is deficient. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 2 × 23^2 × 2389

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,965,010

Proper Divisor Sum 1,437,448

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #2527561 ← → #2527573

Radix Representation

Decimal	2527562
Binary	1001101001000101001010 (22 bits)
Octal	0o11510512
Hexadecimal	0x26914A

Divisor Catalog (12)

1 2 23 46 529 1,058 2,389 4,778 54,947 109,894 1,263,781 2,527,562

Collatz Trajectory (218 steps to reach 1)

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

2,527,562 1,263,781 3,791,344 1,895,672 947,836 473,918 236,959 710,878 355,439 1,066,318 533,159 1,599,478 799,739 2,399,218 1,199,609 3,598,828 1,799,414 899,707 2,699,122 1,349,561 4,048,684 2,024,342 1,012,171 3,036,514 1,518,257 4,554,772 2,277,386 1,138,693 3,416,080 1,708,040 854,020 427,010 213,505 640,516 320,258 160,129 480,388 240,194 120,097 360,292 180,146 90,073 270,220 135,110 67,555 202,666 101,333 304,000 152,000 76,000 38,000 19,000 9,500 4,750 2,375 7,126 3,563 10,690 5,345 16,036

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