λ
Ratio Atlas
Atlas › Integer Profiles › Node 54,570,747

54,570,747

3 × 7 × 11 × 337 × 701
Deficient Odd Composite

54,570,747 factors as 3 × 7 × 11 × 337 × 701. Its 32 positive divisors give a proper-divisor sum of 36,543,237, so this integer is deficient. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 337 × 701
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 91,113,984
Proper Divisor Sum 36,543,237
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #54570709 ← → #54570781

Radix Representation

Decimal 54570747
Binary 11010000001010111011111011 (26 bits)
Octal 0o320127373
Hexadecimal 0x340AEFB

Divisor Catalog (32)

1 3 7 11 21 33 77 231 337 701 1,011 2,103 2,359 3,707 4,907 7,077 7,711 11,121 14,721 23,133 25,949 53,977 77,847 161,931 236,237 708,711 1,653,659 2,598,607 4,960,977 7,795,821 18,190,249 54,570,747

Collatz Trajectory (243 steps to reach 1)

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

54,570,747 163,712,242 81,856,121 245,568,364 122,784,182 61,392,091 184,176,274 92,088,137 276,264,412 138,132,206 69,066,103 207,198,310 103,599,155 310,797,466 155,398,733 466,196,200 233,098,100 116,549,050 58,274,525 174,823,576 87,411,788 43,705,894 21,852,947 65,558,842 32,779,421 98,338,264 49,169,132 24,584,566 12,292,283 36,876,850 18,438,425 55,315,276 27,657,638 13,828,819 41,486,458 20,743,229 62,229,688 31,114,844 15,557,422 7,778,711 23,336,134 11,668,067 35,004,202 17,502,101 52,506,304 26,253,152 13,126,576 6,563,288 3,281,644 1,640,822 820,411 2,461,234 1,230,617 3,691,852 1,845,926 922,963 2,768,890 1,384,445 4,153,336 2,076,668

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #54,570,746 Browse Full Index Next Integer #54,570,748 →