2,427,264

2⁷ × 3² × 7² × 43

2,427,264 has digital root 9. The neighboring primes are 2427263 and 2427281; its proper-divisor sum differs from the starting integer by 3,459,492.

Prime Factor Structure

Factorization String 2^7 × 3^2 × 7^2 × 43

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 8,314,020

Proper Divisor Sum 5,886,756

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2427263 ← → #2427281

Radix Representation

Decimal	2427264
Binary	1001010000100110000000 (22 bits)
Octal	0o11204600
Hexadecimal	0x250980

Divisor Catalog (60 of 144)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 43 48 49 56 63 64 72 84 86 96 98 112 126 128 129 144 147 168 172 192 196 224 252 258 288 294 301 336 344 384 387 392 441 448 504 516 576 588 602 672 688 774

Collatz Trajectory (161 steps to reach 1)

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

2,427,264 1,213,632 606,816 303,408 151,704 75,852 37,926 18,963 56,890 28,445 85,336 42,668 21,334 10,667 32,002 16,001 48,004 24,002 12,001 36,004 18,002 9,001 27,004 13,502 6,751 20,254 10,127 30,382 15,191 45,574 22,787 68,362 34,181 102,544 51,272 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428

← Previous Integer #2,427,263 Browse Full Index Next Integer #2,427,265 →