λ
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Atlas › Integer Profiles › Node 54,575,480

54,575,480

23 × 5 × 61 × 22367
Abundant Even Composite

54,575,480 factors as 2^3 × 5 × 61 × 22367. Its 32 positive divisors give a proper-divisor sum of 70,237,960, so this integer is abundant. The Collatz stopping time is 300 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 61 × 22367
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 124,813,440
Proper Divisor Sum 70,237,960
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #54575473 ← → #54575519

Radix Representation

Decimal 54575480
Binary 11010000001100000101111000 (26 bits)
Octal 0o320140570
Hexadecimal 0x340C178

Divisor Catalog (32)

1 2 4 5 8 10 20 40 61 122 244 305 488 610 1,220 2,440 22,367 44,734 89,468 111,835 178,936 223,670 447,340 894,680 1,364,387 2,728,774 5,457,548 6,821,935 10,915,096 13,643,870 27,287,740 54,575,480

Collatz Trajectory (300 steps to reach 1)

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

54,575,480 27,287,740 13,643,870 6,821,935 20,465,806 10,232,903 30,698,710 15,349,355 46,048,066 23,024,033 69,072,100 34,536,050 17,268,025 51,804,076 25,902,038 12,951,019 38,853,058 19,426,529 58,279,588 29,139,794 14,569,897 43,709,692 21,854,846 10,927,423 32,782,270 16,391,135 49,173,406 24,586,703 73,760,110 36,880,055 110,640,166 55,320,083 165,960,250 82,980,125 248,940,376 124,470,188 62,235,094 31,117,547 93,352,642 46,676,321 140,028,964 70,014,482 35,007,241 105,021,724 52,510,862 26,255,431 78,766,294 39,383,147 118,149,442 59,074,721 177,224,164 88,612,082 44,306,041 132,918,124 66,459,062 33,229,531 99,688,594 49,844,297 149,532,892 74,766,446

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