2² × 3 × 5 × 7² × 17

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7^2 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 172,368

Proper Divisor Sum 122,388

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #49957 ← → #49991

Radix Representation

Decimal	49980
Binary	1100001100111100 (16 bits)
Octal	0o141474
Hexadecimal	0xC33C

Divisor Catalog (60 of 72)

1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 49 51 60 68 70 84 85 98 102 105 119 140 147 170 196 204 210 238 245 255 294 340 357 420 476 490 510 588 595 714 735 833 980 1,020 1,190 1,428 1,470 1,666 1,785 2,380 2,499

Collatz Trajectory (189 steps to reach 1)

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

49,980 24,990 12,495 37,486 18,743 56,230 28,115 84,346 42,173 126,520 63,260 31,630 15,815 47,446 23,723 71,170 35,585 106,756 53,378 26,689 80,068 40,034 20,017 60,052 30,026 15,013 45,040 22,520 11,260 5,630 2,815 8,446 4,223 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

← Previous Integer #49,979 Browse Full Index Next Integer #49,981 →