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Atlas › Integer Profiles › Node 7,221,357

7,221,357

32 × 11 × 13 × 31 × 181
Deficient Odd Composite

7,221,357 factors as 3^2 × 11 × 13 × 31 × 181. Its 48 positive divisors give a proper-divisor sum of 5,498,259, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 13 × 31 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,719,616
Proper Divisor Sum 5,498,259
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7221353 ← → #7221367

Radix Representation

Decimal 7221357
Binary 11011100011000001101101 (23 bits)
Octal 0o33430155
Hexadecimal 0x6E306D

Divisor Catalog (48)

1 3 9 11 13 31 33 39 93 99 117 143 181 279 341 403 429 543 1,023 1,209 1,287 1,629 1,991 2,353 3,069 3,627 4,433 5,611 5,973 7,059 13,299 16,833 17,919 21,177 25,883 39,897 50,499 61,721 72,943 77,649 185,163 218,829 232,947 555,489 656,487 802,373 2,407,119 7,221,357

Collatz Trajectory (173 steps to reach 1)

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

7,221,357 21,664,072 10,832,036 5,416,018 2,708,009 8,124,028 4,062,014 2,031,007 6,093,022 3,046,511 9,139,534 4,569,767 13,709,302 6,854,651 20,563,954 10,281,977 30,845,932 15,422,966 7,711,483 23,134,450 11,567,225 34,701,676 17,350,838 8,675,419 26,026,258 13,013,129 39,039,388 19,519,694 9,759,847 29,279,542 14,639,771 43,919,314 21,959,657 65,878,972 32,939,486 16,469,743 49,409,230 24,704,615 74,113,846 37,056,923 111,170,770 55,585,385 166,756,156 83,378,078 41,689,039 125,067,118 62,533,559 187,600,678 93,800,339 281,401,018 140,700,509 422,101,528 211,050,764 105,525,382 52,762,691 158,288,074 79,144,037 237,432,112 118,716,056 59,358,028

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