9,936,546

2 × 3 × 53 × 31247

Starting at 9,936,546, the Collatz iteration reaches 1 after 176 steps. The first transition is 4968273; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 53 × 31247

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 20,248,704

Proper Divisor Sum 10,312,158

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9936533 ← → #9936557

Radix Representation

Decimal	9936546
Binary	100101111001111010100010 (24 bits)
Octal	0o45717242
Hexadecimal	0x979EA2

Divisor Catalog (16)

1 2 3 6 53 106 159 318 31,247 62,494 93,741 187,482 1,656,091 3,312,182 4,968,273 9,936,546

Collatz Trajectory (176 steps to reach 1)

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

9,936,546 4,968,273 14,904,820 7,452,410 3,726,205 11,178,616 5,589,308 2,794,654 1,397,327 4,191,982 2,095,991 6,287,974 3,143,987 9,431,962 4,715,981 14,147,944 7,073,972 3,536,986 1,768,493 5,305,480 2,652,740 1,326,370 663,185 1,989,556 994,778 497,389 1,492,168 746,084 373,042 186,521 559,564 279,782 139,891 419,674 209,837 629,512 314,756 157,378 78,689 236,068 118,034 59,017 177,052 88,526 44,263 132,790 66,395 199,186 99,593 298,780 149,390 74,695 224,086 112,043 336,130 168,065 504,196 252,098 126,049 378,148

← Previous Integer #9,936,545 Browse Full Index Next Integer #9,936,547 →