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Atlas › Integer Profiles › Node 54,398,740

54,398,740

22 × 5 × 11 × 47 × 5261
Abundant Even Composite

54,398,740 factors as 2^2 × 5 × 11 × 47 × 5261. Its 48 positive divisors give a proper-divisor sum of 72,899,564, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 47 × 5261
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 127,298,304
Proper Divisor Sum 72,899,564
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #54398737 ← → #54398753

Radix Representation

Decimal 54398740
Binary 11001111100000111100010100 (26 bits)
Octal 0o317407424
Hexadecimal 0x33E0F14

Divisor Catalog (48)

1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1,034 2,068 2,585 5,170 5,261 10,340 10,522 21,044 26,305 52,610 57,871 105,220 115,742 231,484 247,267 289,355 494,534 578,710 989,068 1,157,420 1,236,335 2,472,670 2,719,937 4,945,340 5,439,874 10,879,748 13,599,685 27,199,370 54,398,740

Collatz Trajectory (181 steps to reach 1)

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

54,398,740 27,199,370 13,599,685 40,799,056 20,399,528 10,199,764 5,099,882 2,549,941 7,649,824 3,824,912 1,912,456 956,228 478,114 239,057 717,172 358,586 179,293 537,880 268,940 134,470 67,235 201,706 100,853 302,560 151,280 75,640 37,820 18,910 9,455 28,366 14,183 42,550 21,275 63,826 31,913 95,740 47,870 23,935 71,806 35,903 107,710 53,855 161,566 80,783 242,350 121,175 363,526 181,763 545,290 272,645 817,936 408,968 204,484 102,242 51,121 153,364 76,682 38,341 115,024 57,512

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