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Atlas › Integer Profiles › Node 40,190,416

40,190,416

24 × 7 × 229 × 1567
Abundant Even Composite

40,190,416 factors as 2^4 × 7 × 229 × 1567. Its 40 positive divisors give a proper-divisor sum of 49,248,304, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 229 × 1567
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 89,438,720
Proper Divisor Sum 49,248,304
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #40190401 ← → #40190429

Radix Representation

Decimal 40190416
Binary 10011001010100000111010000 (26 bits)
Octal 0o231240720
Hexadecimal 0x26541D0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 112 229 458 916 1,567 1,603 1,832 3,134 3,206 3,664 6,268 6,412 10,969 12,536 12,824 21,938 25,072 25,648 43,876 87,752 175,504 358,843 717,686 1,435,372 2,511,901 2,870,744 5,023,802 5,741,488 10,047,604 20,095,208 40,190,416

Collatz Trajectory (160 steps to reach 1)

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

40,190,416 20,095,208 10,047,604 5,023,802 2,511,901 7,535,704 3,767,852 1,883,926 941,963 2,825,890 1,412,945 4,238,836 2,119,418 1,059,709 3,179,128 1,589,564 794,782 397,391 1,192,174 596,087 1,788,262 894,131 2,682,394 1,341,197 4,023,592 2,011,796 1,005,898 502,949 1,508,848 754,424 377,212 188,606 94,303 282,910 141,455 424,366 212,183 636,550 318,275 954,826 477,413 1,432,240 716,120 358,060 179,030 89,515 268,546 134,273 402,820 201,410 100,705 302,116 151,058 75,529 226,588 113,294 56,647 169,942 84,971 254,914

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