8,302,119

3 × 7² × 56477

Starting at 8,302,119, the Collatz iteration reaches 1 after 199 steps. The first transition is 24906358; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^2 × 56477

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,876,984

Proper Divisor Sum 4,574,865

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8302061 ← → #8302123

Radix Representation

Decimal	8302119
Binary	11111101010111000100111 (23 bits)
Octal	0o37527047
Hexadecimal	0x7EAE27

Divisor Catalog (12)

1 3 7 21 49 147 56,477 169,431 395,339 1,186,017 2,767,373 8,302,119

Collatz Trajectory (199 steps to reach 1)

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

8,302,119 24,906,358 12,453,179 37,359,538 18,679,769 56,039,308 28,019,654 14,009,827 42,029,482 21,014,741 63,044,224 31,522,112 15,761,056 7,880,528 3,940,264 1,970,132 985,066 492,533 1,477,600 738,800 369,400 184,700 92,350 46,175 138,526 69,263 207,790 103,895 311,686 155,843 467,530 233,765 701,296 350,648 175,324 87,662 43,831 131,494 65,747 197,242 98,621 295,864 147,932 73,966 36,983 110,950 55,475 166,426 83,213 249,640 124,820 62,410 31,205 93,616 46,808 23,404 11,702 5,851 17,554 8,777

← Previous Integer #8,302,118 Browse Full Index Next Integer #8,302,120 →