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Atlas › Integer Profiles › Node 55,552,124

55,552,124

22 × 17 × 192 × 31 × 73
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 17 × 19^2 × 31 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 113,678,208
Proper Divisor Sum 58,126,084
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #55552111 ← → #55552157

Radix Representation

Decimal 55552124
Binary 11010011111010100001111100 (26 bits)
Octal 0o323724174
Hexadecimal 0x34FA87C

Divisor Catalog (60 of 72)

1 2 4 17 19 31 34 38 62 68 73 76 124 146 292 323 361 527 589 646 722 1,054 1,178 1,241 1,292 1,387 1,444 2,108 2,263 2,356 2,482 2,774 4,526 4,964 5,548 6,137 9,052 10,013 11,191 12,274 20,026 22,382 23,579 24,548 26,353 38,471 40,052 42,997 44,764 47,158 52,706 76,942 85,994 94,316 105,412 153,884 171,988 190,247 380,494 448,001

Collatz Trajectory (225 steps to reach 1)

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

55,552,124 27,776,062 13,888,031 41,664,094 20,832,047 62,496,142 31,248,071 93,744,214 46,872,107 140,616,322 70,308,161 210,924,484 105,462,242 52,731,121 158,193,364 79,096,682 39,548,341 118,645,024 59,322,512 29,661,256 14,830,628 7,415,314 3,707,657 11,122,972 5,561,486 2,780,743 8,342,230 4,171,115 12,513,346 6,256,673 18,770,020 9,385,010 4,692,505 14,077,516 7,038,758 3,519,379 10,558,138 5,279,069 15,837,208 7,918,604 3,959,302 1,979,651 5,938,954 2,969,477 8,908,432 4,454,216 2,227,108 1,113,554 556,777 1,670,332 835,166 417,583 1,252,750 626,375 1,879,126 939,563 2,818,690 1,409,345 4,228,036 2,114,018

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