9,812,256

2⁵ × 3 × 43 × 2377

Starting at 9,812,256, the Collatz iteration reaches 1 after 101 steps. The first transition is 4906128; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 43 × 2377

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 26,367,264

Proper Divisor Sum 16,555,008

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9812249 ← → #9812263

Radix Representation

Decimal	9812256
Binary	100101011011100100100000 (24 bits)
Octal	0o45334440
Hexadecimal	0x95B920

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1,032 1,376 2,064 2,377 4,128 4,754 7,131 9,508 14,262 19,016 28,524 38,032 57,048 76,064 102,211 114,096 204,422 228,192 306,633 408,844 613,266 817,688 1,226,532 1,635,376 2,453,064 3,270,752 4,906,128 9,812,256

Collatz Trajectory (101 steps to reach 1)

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

9,812,256 4,906,128 2,453,064 1,226,532 613,266 306,633 919,900 459,950 229,975 689,926 344,963 1,034,890 517,445 1,552,336 776,168 388,084 194,042 97,021 291,064 145,532 72,766 36,383 109,150 54,575 163,726 81,863 245,590 122,795 368,386 184,193 552,580 276,290 138,145 414,436 207,218 103,609 310,828 155,414 77,707 233,122 116,561 349,684 174,842 87,421 262,264 131,132 65,566 32,783 98,350 49,175 147,526 73,763 221,290 110,645 331,936 165,968 82,984 41,492 20,746 10,373

← Previous Integer #9,812,255 Browse Full Index Next Integer #9,812,257 →