8,232,510

2 × 3 × 5 × 11 × 13 × 19 × 101

Starting at 8,232,510, the Collatz iteration reaches 1 after 199 steps. The first transition is 4116255; the starting value is even with 128 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 11 × 13 × 19 × 101

Distinct Prime Factors 7

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 24,675,840

Proper Divisor Sum 16,443,330

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #8232509 ← → #8232517

Radix Representation

Decimal	8232510
Binary	11111011001111000111110 (23 bits)
Octal	0o37317076
Hexadecimal	0x7D9E3E

Divisor Catalog (60 of 128)

1 2 3 5 6 10 11 13 15 19 22 26 30 33 38 39 55 57 65 66 78 95 101 110 114 130 143 165 190 195 202 209 247 285 286 303 330 390 418 429 494 505 570 606 627 715 741 858 1,010 1,045 1,111 1,235 1,254 1,313 1,430 1,482 1,515 1,919 2,090 2,145

Collatz Trajectory (199 steps to reach 1)

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

8,232,510 4,116,255 12,348,766 6,174,383 18,523,150 9,261,575 27,784,726 13,892,363 41,677,090 20,838,545 62,515,636 31,257,818 15,628,909 46,886,728 23,443,364 11,721,682 5,860,841 17,582,524 8,791,262 4,395,631 13,186,894 6,593,447 19,780,342 9,890,171 29,670,514 14,835,257 44,505,772 22,252,886 11,126,443 33,379,330 16,689,665 50,068,996 25,034,498 12,517,249 37,551,748 18,775,874 9,387,937 28,163,812 14,081,906 7,040,953 21,122,860 10,561,430 5,280,715 15,842,146 7,921,073 23,763,220 11,881,610 5,940,805 17,822,416 8,911,208 4,455,604 2,227,802 1,113,901 3,341,704 1,670,852 835,426 417,713 1,253,140 626,570 313,285

← Previous Integer #8,232,509 Browse Full Index Next Integer #8,232,511 →