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Atlas › Integer Profiles › Node 41,531,120

41,531,120

24 × 5 × 43 × 12073
Abundant Even Composite

41,531,120 factors as 2^4 × 5 × 43 × 12073. Its 40 positive divisors give a proper-divisor sum of 57,282,496, so this integer is abundant. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 43 × 12073
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 98,813,616
Proper Divisor Sum 57,282,496
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #41531107 ← → #41531129

Radix Representation

Decimal 41531120
Binary 10011110011011011011110000 (26 bits)
Octal 0o236333360
Hexadecimal 0x279B6F0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1,720 3,440 12,073 24,146 48,292 60,365 96,584 120,730 193,168 241,460 482,920 519,139 965,840 1,038,278 2,076,556 2,595,695 4,153,112 5,191,390 8,306,224 10,382,780 20,765,560 41,531,120

Collatz Trajectory (209 steps to reach 1)

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

41,531,120 20,765,560 10,382,780 5,191,390 2,595,695 7,787,086 3,893,543 11,680,630 5,840,315 17,520,946 8,760,473 26,281,420 13,140,710 6,570,355 19,711,066 9,855,533 29,566,600 14,783,300 7,391,650 3,695,825 11,087,476 5,543,738 2,771,869 8,315,608 4,157,804 2,078,902 1,039,451 3,118,354 1,559,177 4,677,532 2,338,766 1,169,383 3,508,150 1,754,075 5,262,226 2,631,113 7,893,340 3,946,670 1,973,335 5,920,006 2,960,003 8,880,010 4,440,005 13,320,016 6,660,008 3,330,004 1,665,002 832,501 2,497,504 1,248,752 624,376 312,188 156,094 78,047 234,142 117,071 351,214 175,607 526,822 263,411

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