2,542,774

2 × 13² × 7523

2,542,774 has digital root 4. The neighboring primes are 2542759 and 2542817; its proper-divisor sum differs from the starting integer by -954,872.

Prime Factor Structure

Factorization String 2 × 13^2 × 7523

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,130,676

Proper Divisor Sum 1,587,902

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2542759 ← → #2542817

Radix Representation

Decimal	2542774
Binary	1001101100110010110110 (22 bits)
Octal	0o11546266
Hexadecimal	0x26CCB6

Divisor Catalog (12)

1 2 13 26 169 338 7,523 15,046 97,799 195,598 1,271,387 2,542,774

Collatz Trajectory (249 steps to reach 1)

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

2,542,774 1,271,387 3,814,162 1,907,081 5,721,244 2,860,622 1,430,311 4,290,934 2,145,467 6,436,402 3,218,201 9,654,604 4,827,302 2,413,651 7,240,954 3,620,477 10,861,432 5,430,716 2,715,358 1,357,679 4,073,038 2,036,519 6,109,558 3,054,779 9,164,338 4,582,169 13,746,508 6,873,254 3,436,627 10,309,882 5,154,941 15,464,824 7,732,412 3,866,206 1,933,103 5,799,310 2,899,655 8,698,966 4,349,483 13,048,450 6,524,225 19,572,676 9,786,338 4,893,169 14,679,508 7,339,754 3,669,877 11,009,632 5,504,816 2,752,408 1,376,204 688,102 344,051 1,032,154 516,077 1,548,232 774,116 387,058 193,529 580,588

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