2³ × 7² × 11 × 17 × 23 × 31

Prime Factor Structure

Factorization String 2^3 × 7^2 × 11 × 17 × 23 × 31

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 141,834,240

Proper Divisor Sum 89,568,488

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #52265749 ← → #52265753

Radix Representation

Decimal	52265752
Binary	11000111011000001100011000 (26 bits)
Octal	0o307301430
Hexadecimal	0x31D8318

Divisor Catalog (60 of 192)

1 2 4 7 8 11 14 17 22 23 28 31 34 44 46 49 56 62 68 77 88 92 98 119 124 136 154 161 184 187 196 217 238 248 253 308 322 341 374 391 392 434 476 506 527 539 616 644 682 713 748 782 833 868 952 1,012 1,054 1,078 1,127 1,288

Collatz Trajectory (181 steps to reach 1)

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

52,265,752 26,132,876 13,066,438 6,533,219 19,599,658 9,799,829 29,399,488 14,699,744 7,349,872 3,674,936 1,837,468 918,734 459,367 1,378,102 689,051 2,067,154 1,033,577 3,100,732 1,550,366 775,183 2,325,550 1,162,775 3,488,326 1,744,163 5,232,490 2,616,245 7,848,736 3,924,368 1,962,184 981,092 490,546 245,273 735,820 367,910 183,955 551,866 275,933 827,800 413,900 206,950 103,475 310,426 155,213 465,640 232,820 116,410 58,205 174,616 87,308 43,654 21,827 65,482 32,741 98,224 49,112 24,556 12,278 6,139 18,418 9,209

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

← Previous Integer #52,265,751 Browse Full Index Next Integer #52,265,753 →