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Atlas › Integer Profiles › Node 7,397,352

7,397,352

23 × 33 × 23 × 1489
Abundant Even Composite

7,397,352 factors as 2^3 × 3^3 × 23 × 1489. Its 64 positive divisors give a proper-divisor sum of 14,058,648, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 23 × 1489
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 21,456,000
Proper Divisor Sum 14,058,648
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7397347 ← → #7397353

Radix Representation

Decimal 7397352
Binary 11100001101111111101000 (23 bits)
Octal 0o34157750
Hexadecimal 0x70DFE8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1,242 1,489 1,656 2,484 2,978 4,467 4,968 5,956 8,934 11,912 13,401 17,868 26,802 34,247 35,736 40,203 53,604 68,494 80,406 102,741 107,208 136,988 160,812 205,482 273,976 308,223 321,624 410,964 616,446 821,928 924,669 1,232,892

Collatz Trajectory (98 steps to reach 1)

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

7,397,352 3,698,676 1,849,338 924,669 2,774,008 1,387,004 693,502 346,751 1,040,254 520,127 1,560,382 780,191 2,340,574 1,170,287 3,510,862 1,755,431 5,266,294 2,633,147 7,899,442 3,949,721 11,849,164 5,924,582 2,962,291 8,886,874 4,443,437 13,330,312 6,665,156 3,332,578 1,666,289 4,998,868 2,499,434 1,249,717 3,749,152 1,874,576 937,288 468,644 234,322 117,161 351,484 175,742 87,871 263,614 131,807 395,422 197,711 593,134 296,567 889,702 444,851 1,334,554 667,277 2,001,832 1,000,916 500,458 250,229 750,688 375,344 187,672 93,836 46,918

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