6,648,356

2² × 11 × 13 × 59 × 197

Starting at 6,648,356, the Collatz iteration reaches 1 after 116 steps. The first transition is 3324178; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 13 × 59 × 197

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 13,970,880

Proper Divisor Sum 7,322,524

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #6648331 ← → #6648371

Radix Representation

Decimal	6648356
Binary	11001010111001000100100 (23 bits)
Octal	0o31271044
Hexadecimal	0x657224

Divisor Catalog (48)

1 2 4 11 13 22 26 44 52 59 118 143 197 236 286 394 572 649 767 788 1,298 1,534 2,167 2,561 2,596 3,068 4,334 5,122 8,437 8,668 10,244 11,623 16,874 23,246 28,171 33,748 46,492 56,342 112,684 127,853 151,099 255,706 302,198 511,412 604,396 1,662,089 3,324,178 6,648,356

Collatz Trajectory (116 steps to reach 1)

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

6,648,356 3,324,178 1,662,089 4,986,268 2,493,134 1,246,567 3,739,702 1,869,851 5,609,554 2,804,777 8,414,332 4,207,166 2,103,583 6,310,750 3,155,375 9,466,126 4,733,063 14,199,190 7,099,595 21,298,786 10,649,393 31,948,180 15,974,090 7,987,045 23,961,136 11,980,568 5,990,284 2,995,142 1,497,571 4,492,714 2,246,357 6,739,072 3,369,536 1,684,768 842,384 421,192 210,596 105,298 52,649 157,948 78,974 39,487 118,462 59,231 177,694 88,847 266,542 133,271 399,814 199,907 599,722 299,861 899,584 449,792 224,896 112,448 56,224 28,112 14,056 7,028

← Previous Integer #6,648,355 Browse Full Index Next Integer #6,648,357 →