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Atlas › Integer Profiles › Node 49,247,792

49,247,792

24 × 11 × 279817
Abundant Even Composite

49,247,792 factors as 2^4 × 11 × 279817. Its 20 positive divisors give a proper-divisor sum of 54,844,504, so this integer is abundant. The Collatz stopping time is 54 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 279817
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 104,092,296
Proper Divisor Sum 54,844,504
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #49247767 ← → #49247797

Radix Representation

Decimal 49247792
Binary 10111011110111011000110000 (26 bits)
Octal 0o273673060
Hexadecimal 0x2EF7630

Divisor Catalog (20)

1 2 4 8 11 16 22 44 88 176 279,817 559,634 1,119,268 2,238,536 3,077,987 4,477,072 6,155,974 12,311,948 24,623,896 49,247,792

Collatz Trajectory (54 steps to reach 1)

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

49,247,792 24,623,896 12,311,948 6,155,974 3,077,987 9,233,962 4,616,981 13,850,944 6,925,472 3,462,736 1,731,368 865,684 432,842 216,421 649,264 324,632 162,316 81,158 40,579 121,738 60,869 182,608 91,304 45,652 22,826 11,413 34,240 17,120 8,560 4,280 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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