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Atlas › Integer Profiles › Node 8,040,948

8,040,948

22 × 3 × 47 × 53 × 269
Abundant Even Composite

8,040,948 factors as 2^2 × 3 × 47 × 53 × 269. Its 48 positive divisors give a proper-divisor sum of 11,554,572, so this integer is abundant. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 47 × 53 × 269
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,595,520
Proper Divisor Sum 11,554,572
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8040947 ← → #8041003

Radix Representation

Decimal 8040948
Binary 11110101011000111110100 (23 bits)
Octal 0o36530764
Hexadecimal 0x7AB1F4

Divisor Catalog (48)

1 2 3 4 6 12 47 53 94 106 141 159 188 212 269 282 318 538 564 636 807 1,076 1,614 2,491 3,228 4,982 7,473 9,964 12,643 14,257 14,946 25,286 28,514 29,892 37,929 42,771 50,572 57,028 75,858 85,542 151,716 171,084 670,079 1,340,158 2,010,237 2,680,316 4,020,474 8,040,948

Collatz Trajectory (248 steps to reach 1)

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

8,040,948 4,020,474 2,010,237 6,030,712 3,015,356 1,507,678 753,839 2,261,518 1,130,759 3,392,278 1,696,139 5,088,418 2,544,209 7,632,628 3,816,314 1,908,157 5,724,472 2,862,236 1,431,118 715,559 2,146,678 1,073,339 3,220,018 1,610,009 4,830,028 2,415,014 1,207,507 3,622,522 1,811,261 5,433,784 2,716,892 1,358,446 679,223 2,037,670 1,018,835 3,056,506 1,528,253 4,584,760 2,292,380 1,146,190 573,095 1,719,286 859,643 2,578,930 1,289,465 3,868,396 1,934,198 967,099 2,901,298 1,450,649 4,351,948 2,175,974 1,087,987 3,263,962 1,631,981 4,895,944 2,447,972 1,223,986 611,993 1,835,980

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