8,117,270

2 × 5 × 7 × 61 × 1901

Starting at 8,117,270, the Collatz iteration reaches 1 after 230 steps. The first transition is 4058635; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 61 × 1901

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,981,056

Proper Divisor Sum 8,863,786

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8117267 ← → #8117297

Radix Representation

Decimal	8117270
Binary	11110111101110000010110 (23 bits)
Octal	0o36756026
Hexadecimal	0x7BDC16

Divisor Catalog (32)

1 2 5 7 10 14 35 61 70 122 305 427 610 854 1,901 2,135 3,802 4,270 9,505 13,307 19,010 26,614 66,535 115,961 133,070 231,922 579,805 811,727 1,159,610 1,623,454 4,058,635 8,117,270

Collatz Trajectory (230 steps to reach 1)

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

8,117,270 4,058,635 12,175,906 6,087,953 18,263,860 9,131,930 4,565,965 13,697,896 6,848,948 3,424,474 1,712,237 5,136,712 2,568,356 1,284,178 642,089 1,926,268 963,134 481,567 1,444,702 722,351 2,167,054 1,083,527 3,250,582 1,625,291 4,875,874 2,437,937 7,313,812 3,656,906 1,828,453 5,485,360 2,742,680 1,371,340 685,670 342,835 1,028,506 514,253 1,542,760 771,380 385,690 192,845 578,536 289,268 144,634 72,317 216,952 108,476 54,238 27,119 81,358 40,679 122,038 61,019 183,058 91,529 274,588 137,294 68,647 205,942 102,971 308,914

← Previous Integer #8,117,269 Browse Full Index Next Integer #8,117,271 →