λ
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Atlas › Integer Profiles › Node 54,371,028

54,371,028

22 × 3 × 439 × 10321
Abundant Even Composite

54,371,028 factors as 2^2 × 3 × 439 × 10321. Its 24 positive divisors give a proper-divisor sum of 72,796,012, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 439 × 10321
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 127,167,040
Proper Divisor Sum 72,796,012
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #54371021 ← → #54371029

Radix Representation

Decimal 54371028
Binary 11001111011010001011010100 (26 bits)
Octal 0o317321324
Hexadecimal 0x33DA2D4

Divisor Catalog (24)

1 2 3 4 6 12 439 878 1,317 1,756 2,634 5,268 10,321 20,642 30,963 41,284 61,926 123,852 4,530,919 9,061,838 13,592,757 18,123,676 27,185,514 54,371,028

Collatz Trajectory (88 steps to reach 1)

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

54,371,028 27,185,514 13,592,757 40,778,272 20,389,136 10,194,568 5,097,284 2,548,642 1,274,321 3,822,964 1,911,482 955,741 2,867,224 1,433,612 716,806 358,403 1,075,210 537,605 1,612,816 806,408 403,204 201,602 100,801 302,404 151,202 75,601 226,804 113,402 56,701 170,104 85,052 42,526 21,263 63,790 31,895 95,686 47,843 143,530 71,765 215,296 107,648 53,824 26,912 13,456 6,728 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600

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