7,983,222

2 × 3 × 13² × 7873

Starting at 7,983,222, the Collatz iteration reaches 1 after 124 steps. The first transition is 3991611; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13^2 × 7873

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,291,304

Proper Divisor Sum 9,308,082

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7983181 ← → #7983223

Radix Representation

Decimal	7983222
Binary	11110011101000001110110 (23 bits)
Octal	0o36350166
Hexadecimal	0x79D076

Divisor Catalog (24)

1 2 3 6 13 26 39 78 169 338 507 1,014 7,873 15,746 23,619 47,238 102,349 204,698 307,047 614,094 1,330,537 2,661,074 3,991,611 7,983,222

Collatz Trajectory (124 steps to reach 1)

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

7,983,222 3,991,611 11,974,834 5,987,417 17,962,252 8,981,126 4,490,563 13,471,690 6,735,845 20,207,536 10,103,768 5,051,884 2,525,942 1,262,971 3,788,914 1,894,457 5,683,372 2,841,686 1,420,843 4,262,530 2,131,265 6,393,796 3,196,898 1,598,449 4,795,348 2,397,674 1,198,837 3,596,512 1,798,256 899,128 449,564 224,782 112,391 337,174 168,587 505,762 252,881 758,644 379,322 189,661 568,984 284,492 142,246 71,123 213,370 106,685 320,056 160,028 80,014 40,007 120,022 60,011 180,034 90,017 270,052 135,026 67,513 202,540 101,270 50,635

← Previous Integer #7,983,221 Browse Full Index Next Integer #7,983,223 →