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Atlas › Integer Profiles › Node 55,056,716

55,056,716

22 × 11 × 13 × 101 × 953
Abundant Even Composite

55,056,716 factors as 2^2 × 11 × 13 × 101 × 953. Its 48 positive divisors give a proper-divisor sum of 59,377,492, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 13 × 101 × 953
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 114,434,208
Proper Divisor Sum 59,377,492
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #55056689 ← → #55056767

Radix Representation

Decimal 55056716
Binary 11010010000001100101001100 (26 bits)
Octal 0o322014514
Hexadecimal 0x348194C

Divisor Catalog (48)

1 2 4 11 13 22 26 44 52 101 143 202 286 404 572 953 1,111 1,313 1,906 2,222 2,626 3,812 4,444 5,252 10,483 12,389 14,443 20,966 24,778 28,886 41,932 49,556 57,772 96,253 136,279 192,506 272,558 385,012 545,116 1,058,783 1,251,289 2,117,566 2,502,578 4,235,132 5,005,156 13,764,179 27,528,358 55,056,716

Collatz Trajectory (137 steps to reach 1)

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

55,056,716 27,528,358 13,764,179 41,292,538 20,646,269 61,938,808 30,969,404 15,484,702 7,742,351 23,227,054 11,613,527 34,840,582 17,420,291 52,260,874 26,130,437 78,391,312 39,195,656 19,597,828 9,798,914 4,899,457 14,698,372 7,349,186 3,674,593 11,023,780 5,511,890 2,755,945 8,267,836 4,133,918 2,066,959 6,200,878 3,100,439 9,301,318 4,650,659 13,951,978 6,975,989 20,927,968 10,463,984 5,231,992 2,615,996 1,307,998 653,999 1,961,998 980,999 2,942,998 1,471,499 4,414,498 2,207,249 6,621,748 3,310,874 1,655,437 4,966,312 2,483,156 1,241,578 620,789 1,862,368 931,184 465,592 232,796 116,398 58,199

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