2,617,978

2 × 11 × 127 × 937

Starting at 2,617,978, the Collatz iteration reaches 1 after 187 steps. The first transition is 1308989; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 127 × 937

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,322,304

Proper Divisor Sum 1,704,326

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #2617961 ← → #2617987

Radix Representation

Decimal	2617978
Binary	1001111111001001111010 (22 bits)
Octal	0o11771172
Hexadecimal	0x27F27A

Divisor Catalog (16)

1 2 11 22 127 254 937 1,397 1,874 2,794 10,307 20,614 118,999 237,998 1,308,989 2,617,978

Collatz Trajectory (187 steps to reach 1)

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

2,617,978 1,308,989 3,926,968 1,963,484 981,742 490,871 1,472,614 736,307 2,208,922 1,104,461 3,313,384 1,656,692 828,346 414,173 1,242,520 621,260 310,630 155,315 465,946 232,973 698,920 349,460 174,730 87,365 262,096 131,048 65,524 32,762 16,381 49,144 24,572 12,286 6,143 18,430 9,215 27,646 13,823 41,470 20,735 62,206 31,103 93,310 46,655 139,966 69,983 209,950 104,975 314,926 157,463 472,390 236,195 708,586 354,293 1,062,880 531,440 265,720 132,860 66,430 33,215 99,646

← Previous Integer #2,617,977 Browse Full Index Next Integer #2,617,979 →