λ
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53,585,624

23 × 19 × 167 × 2111
Deficient Even Composite

53,585,624 factors as 2^3 × 19 × 167 × 2111. Its 32 positive divisors give a proper-divisor sum of 52,859,176, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 167 × 2111
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 106,444,800
Proper Divisor Sum 52,859,176
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #53585563 ← → #53585641

Radix Representation

Decimal 53585624
Binary 11001100011010011011011000 (26 bits)
Octal 0o314323330
Hexadecimal 0x331A6D8

Divisor Catalog (32)

1 2 4 8 19 38 76 152 167 334 668 1,336 2,111 3,173 4,222 6,346 8,444 12,692 16,888 25,384 40,109 80,218 160,436 320,872 352,537 705,074 1,410,148 2,820,296 6,698,203 13,396,406 26,792,812 53,585,624

Collatz Trajectory (119 steps to reach 1)

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

53,585,624 26,792,812 13,396,406 6,698,203 20,094,610 10,047,305 30,141,916 15,070,958 7,535,479 22,606,438 11,303,219 33,909,658 16,954,829 50,864,488 25,432,244 12,716,122 6,358,061 19,074,184 9,537,092 4,768,546 2,384,273 7,152,820 3,576,410 1,788,205 5,364,616 2,682,308 1,341,154 670,577 2,011,732 1,005,866 502,933 1,508,800 754,400 377,200 188,600 94,300 47,150 23,575 70,726 35,363 106,090 53,045 159,136 79,568 39,784 19,892 9,946 4,973 14,920 7,460 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448

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