λ
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Atlas › Integer Profiles › Node 49,868,476

49,868,476

22 × 72 × 43 × 61 × 97
Abundant Even Composite

49,868,476 factors as 2^2 × 7^2 × 43 × 61 × 97. Its 72 positive divisors give a proper-divisor sum of 56,801,780, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 43 × 61 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 106,670,256
Proper Divisor Sum 56,801,780
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #49868473 ← → #49868477

Radix Representation

Decimal 49868476
Binary 10111110001110111010111100 (26 bits)
Octal 0o276167274
Hexadecimal 0x2F8EEBC

Divisor Catalog (60 of 72)

1 2 4 7 14 28 43 49 61 86 97 98 122 172 194 196 244 301 388 427 602 679 854 1,204 1,358 1,708 2,107 2,623 2,716 2,989 4,171 4,214 4,753 5,246 5,917 5,978 8,342 8,428 9,506 10,492 11,834 11,956 16,684 18,361 19,012 23,668 29,197 36,722 41,419 58,394 73,444 82,838 116,788 128,527 165,676 204,379 254,431 257,054 289,933 408,758

Collatz Trajectory (155 steps to reach 1)

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

49,868,476 24,934,238 12,467,119 37,401,358 18,700,679 56,102,038 28,051,019 84,153,058 42,076,529 126,229,588 63,114,794 31,557,397 94,672,192 47,336,096 23,668,048 11,834,024 5,917,012 2,958,506 1,479,253 4,437,760 2,218,880 1,109,440 554,720 277,360 138,680 69,340 34,670 17,335 52,006 26,003 78,010 39,005 117,016 58,508 29,254 14,627 43,882 21,941 65,824 32,912 16,456 8,228 4,114 2,057 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466

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