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Atlas › Integer Profiles › Node 40,282,924

40,282,924

22 × 11 × 569 × 1609
Deficient Even Composite

40,282,924 factors as 2^2 × 11 × 569 × 1609. Its 24 positive divisors give a proper-divisor sum of 36,803,876, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 569 × 1609
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 77,086,800
Proper Divisor Sum 36,803,876
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #40282871 ← → #40282927

Radix Representation

Decimal 40282924
Binary 10011001101010101100101100 (26 bits)
Octal 0o231525454
Hexadecimal 0x266AB2C

Divisor Catalog (24)

1 2 4 11 22 44 569 1,138 1,609 2,276 3,218 6,259 6,436 12,518 17,699 25,036 35,398 70,796 915,521 1,831,042 3,662,084 10,070,731 20,141,462 40,282,924

Collatz Trajectory (209 steps to reach 1)

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

40,282,924 20,141,462 10,070,731 30,212,194 15,106,097 45,318,292 22,659,146 11,329,573 33,988,720 16,994,360 8,497,180 4,248,590 2,124,295 6,372,886 3,186,443 9,559,330 4,779,665 14,338,996 7,169,498 3,584,749 10,754,248 5,377,124 2,688,562 1,344,281 4,032,844 2,016,422 1,008,211 3,024,634 1,512,317 4,536,952 2,268,476 1,134,238 567,119 1,701,358 850,679 2,552,038 1,276,019 3,828,058 1,914,029 5,742,088 2,871,044 1,435,522 717,761 2,153,284 1,076,642 538,321 1,614,964 807,482 403,741 1,211,224 605,612 302,806 151,403 454,210 227,105 681,316 340,658 170,329 510,988 255,494

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