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Atlas › Integer Profiles › Node 49,939,456

49,939,456

210 × 7 × 6967
Abundant Even Composite

49,939,456 factors as 2^10 × 7 × 6967. Its 44 positive divisors give a proper-divisor sum of 64,168,512, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^10 × 7 × 6967
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 44
Divisor Sum (σ) 114,107,968
Proper Divisor Sum 64,168,512
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #49939411 ← → #49939471

Radix Representation

Decimal 49939456
Binary 10111110100000010000000000 (26 bits)
Octal 0o276402000
Hexadecimal 0x2FA0400

Divisor Catalog (44)

1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1,024 1,792 3,584 6,967 7,168 13,934 27,868 48,769 55,736 97,538 111,472 195,076 222,944 390,152 445,888 780,304 891,776 1,560,608 1,783,552 3,121,216 3,567,104 6,242,432 7,134,208 12,484,864 24,969,728 49,939,456

Collatz Trajectory (168 steps to reach 1)

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

49,939,456 24,969,728 12,484,864 6,242,432 3,121,216 1,560,608 780,304 390,152 195,076 97,538 48,769 146,308 73,154 36,577 109,732 54,866 27,433 82,300 41,150 20,575 61,726 30,863 92,590 46,295 138,886 69,443 208,330 104,165 312,496 156,248 78,124 39,062 19,531 58,594 29,297 87,892 43,946 21,973 65,920 32,960 16,480 8,240 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41

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