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Atlas › Integer Profiles › Node 40,543,720

40,543,720

23 × 5 × 7 × 19 × 7621
Abundant Even Composite

40,543,720 factors as 2^3 × 5 × 7 × 19 × 7621. Its 64 positive divisors give a proper-divisor sum of 69,213,080, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 19 × 7621
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 109,756,800
Proper Divisor Sum 69,213,080
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #40543681 ← → #40543729

Radix Representation

Decimal 40543720
Binary 10011010101010010111101000 (26 bits)
Octal 0o232522750
Hexadecimal 0x26AA5E8

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1,064 1,330 2,660 5,320 7,621 15,242 30,484 38,105 53,347 60,968 76,210 106,694 144,799 152,420 213,388 266,735 289,598 304,840 426,776 533,470 579,196 723,995 1,013,593 1,066,940 1,158,392 1,447,990 2,027,186 2,133,880 2,895,980 4,054,372 5,067,965 5,791,960

Collatz Trajectory (191 steps to reach 1)

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

40,543,720 20,271,860 10,135,930 5,067,965 15,203,896 7,601,948 3,800,974 1,900,487 5,701,462 2,850,731 8,552,194 4,276,097 12,828,292 6,414,146 3,207,073 9,621,220 4,810,610 2,405,305 7,215,916 3,607,958 1,803,979 5,411,938 2,705,969 8,117,908 4,058,954 2,029,477 6,088,432 3,044,216 1,522,108 761,054 380,527 1,141,582 570,791 1,712,374 856,187 2,568,562 1,284,281 3,852,844 1,926,422 963,211 2,889,634 1,444,817 4,334,452 2,167,226 1,083,613 3,250,840 1,625,420 812,710 406,355 1,219,066 609,533 1,828,600 914,300 457,150 228,575 685,726 342,863 1,028,590 514,295 1,542,886

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