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Atlas › Integer Profiles › Node 54,090,664

54,090,664

23 × 23 × 73 × 4027
Deficient Even Composite

54,090,664 factors as 2^3 × 23 × 73 × 4027. Its 32 positive divisors give a proper-divisor sum of 53,215,256, so this integer is deficient. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 73 × 4027
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 107,305,920
Proper Divisor Sum 53,215,256
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #54090649 ← → #54090671

Radix Representation

Decimal 54090664
Binary 11001110010101101110101000 (26 bits)
Octal 0o316255650
Hexadecimal 0x3395BA8

Divisor Catalog (32)

1 2 4 8 23 46 73 92 146 184 292 584 1,679 3,358 4,027 6,716 8,054 13,432 16,108 32,216 92,621 185,242 293,971 370,484 587,942 740,968 1,175,884 2,351,768 6,761,333 13,522,666 27,045,332 54,090,664

Collatz Trajectory (181 steps to reach 1)

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

54,090,664 27,045,332 13,522,666 6,761,333 20,284,000 10,142,000 5,071,000 2,535,500 1,267,750 633,875 1,901,626 950,813 2,852,440 1,426,220 713,110 356,555 1,069,666 534,833 1,604,500 802,250 401,125 1,203,376 601,688 300,844 150,422 75,211 225,634 112,817 338,452 169,226 84,613 253,840 126,920 63,460 31,730 15,865 47,596 23,798 11,899 35,698 17,849 53,548 26,774 13,387 40,162 20,081 60,244 30,122 15,061 45,184 22,592 11,296 5,648 2,824 1,412 706 353 1,060 530 265

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