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Atlas › Integer Profiles › Node 49,394,176

49,394,176

29 × 13 × 41 × 181
Abundant Even Composite

49,394,176 factors as 2^9 × 13 × 41 × 181. Its 80 positive divisors give a proper-divisor sum of 60,083,192, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^9 × 13 × 41 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 109,477,368
Proper Divisor Sum 60,083,192
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #49394173 ← → #49394183

Radix Representation

Decimal 49394176
Binary 10111100011011001000000000 (26 bits)
Octal 0o274331000
Hexadecimal 0x2F1B200

Divisor Catalog (60 of 80)

1 2 4 8 13 16 26 32 41 52 64 82 104 128 164 181 208 256 328 362 416 512 533 656 724 832 1,066 1,312 1,448 1,664 2,132 2,353 2,624 2,896 3,328 4,264 4,706 5,248 5,792 6,656 7,421 8,528 9,412 10,496 11,584 14,842 17,056 18,824 20,992 23,168 29,684 34,112 37,648 46,336 59,368 68,224 75,296 92,672 96,473 118,736

Collatz Trajectory (199 steps to reach 1)

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

49,394,176 24,697,088 12,348,544 6,174,272 3,087,136 1,543,568 771,784 385,892 192,946 96,473 289,420 144,710 72,355 217,066 108,533 325,600 162,800 81,400 40,700 20,350 10,175 30,526 15,263 45,790 22,895 68,686 34,343 103,030 51,515 154,546 77,273 231,820 115,910 57,955 173,866 86,933 260,800 130,400 65,200 32,600 16,300 8,150 4,075 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707

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