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Atlas › Integer Profiles › Node 7,162,424

7,162,424

23 × 43 × 47 × 443
Deficient Even Composite

7,162,424 factors as 2^3 × 43 × 47 × 443. Its 32 positive divisors give a proper-divisor sum of 6,903,496, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^3 × 43 × 47 × 443
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,065,920
Proper Divisor Sum 6,903,496
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7162403 ← → #7162439

Radix Representation

Decimal 7162424
Binary 11011010100101000111000 (23 bits)
Octal 0o33245070
Hexadecimal 0x6D4A38

Divisor Catalog (32)

1 2 4 8 43 47 86 94 172 188 344 376 443 886 1,772 2,021 3,544 4,042 8,084 16,168 19,049 20,821 38,098 41,642 76,196 83,284 152,392 166,568 895,303 1,790,606 3,581,212 7,162,424

Collatz Trajectory (204 steps to reach 1)

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

7,162,424 3,581,212 1,790,606 895,303 2,685,910 1,342,955 4,028,866 2,014,433 6,043,300 3,021,650 1,510,825 4,532,476 2,266,238 1,133,119 3,399,358 1,699,679 5,099,038 2,549,519 7,648,558 3,824,279 11,472,838 5,736,419 17,209,258 8,604,629 25,813,888 12,906,944 6,453,472 3,226,736 1,613,368 806,684 403,342 201,671 605,014 302,507 907,522 453,761 1,361,284 680,642 340,321 1,020,964 510,482 255,241 765,724 382,862 191,431 574,294 287,147 861,442 430,721 1,292,164 646,082 323,041 969,124 484,562 242,281 726,844 363,422 181,711 545,134 272,567

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