λ
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Atlas › Integer Profiles › Node 48,744,170

48,744,170

2 × 5 × 37 × 47 × 2803
Deficient Even Composite

48,744,170 factors as 2 × 5 × 37 × 47 × 2803. Its 32 positive divisors give a proper-divisor sum of 43,316,758, so this integer is deficient. The Collatz stopping time is 261 steps.

Prime Factor Structure

Factorization String 2 × 5 × 37 × 47 × 2803
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 92,060,928
Proper Divisor Sum 43,316,758
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #48744167 ← → #48744173

Radix Representation

Decimal 48744170
Binary 10111001111100011011101010 (26 bits)
Octal 0o271743352
Hexadecimal 0x2E7C6EA

Divisor Catalog (32)

1 2 5 10 37 47 74 94 185 235 370 470 1,739 2,803 3,478 5,606 8,695 14,015 17,390 28,030 103,711 131,741 207,422 263,482 518,555 658,705 1,037,110 1,317,410 4,874,417 9,748,834 24,372,085 48,744,170

Collatz Trajectory (261 steps to reach 1)

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

48,744,170 24,372,085 73,116,256 36,558,128 18,279,064 9,139,532 4,569,766 2,284,883 6,854,650 3,427,325 10,281,976 5,140,988 2,570,494 1,285,247 3,855,742 1,927,871 5,783,614 2,891,807 8,675,422 4,337,711 13,013,134 6,506,567 19,519,702 9,759,851 29,279,554 14,639,777 43,919,332 21,959,666 10,979,833 32,939,500 16,469,750 8,234,875 24,704,626 12,352,313 37,056,940 18,528,470 9,264,235 27,792,706 13,896,353 41,689,060 20,844,530 10,422,265 31,266,796 15,633,398 7,816,699 23,450,098 11,725,049 35,175,148 17,587,574 8,793,787 26,381,362 13,190,681 39,572,044 19,786,022 9,893,011 29,679,034 14,839,517 44,518,552 22,259,276 11,129,638

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