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Atlas › Integer Profiles › Node 41,664,063

41,664,063

3 × 72 × 23 × 12323
Deficient Odd Composite

41,664,063 factors as 3 × 7^2 × 23 × 12323. Its 24 positive divisors give a proper-divisor sum of 25,772,865, so this integer is deficient. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 23 × 12323
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 67,436,928
Proper Divisor Sum 25,772,865
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #41664061 ← → #41664079

Radix Representation

Decimal 41664063
Binary 10011110111011111000111111 (26 bits)
Octal 0o236737077
Hexadecimal 0x27BBE3F

Divisor Catalog (24)

1 3 7 21 23 49 69 147 161 483 1,127 3,381 12,323 36,969 86,261 258,783 283,429 603,827 850,287 1,811,481 1,984,003 5,952,009 13,888,021 41,664,063

Collatz Trajectory (253 steps to reach 1)

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

41,664,063 124,992,190 62,496,095 187,488,286 93,744,143 281,232,430 140,616,215 421,848,646 210,924,323 632,772,970 316,386,485 949,159,456 474,579,728 237,289,864 118,644,932 59,322,466 29,661,233 88,983,700 44,491,850 22,245,925 66,737,776 33,368,888 16,684,444 8,342,222 4,171,111 12,513,334 6,256,667 18,770,002 9,385,001 28,155,004 14,077,502 7,038,751 21,116,254 10,558,127 31,674,382 15,837,191 47,511,574 23,755,787 71,267,362 35,633,681 106,901,044 53,450,522 26,725,261 80,175,784 40,087,892 20,043,946 10,021,973 30,065,920 15,032,960 7,516,480 3,758,240 1,879,120 939,560 469,780 234,890 117,445 352,336 176,168 88,084 44,042

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