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Atlas › Integer Profiles › Node 7,397,334

7,397,334

2 × 32 × 72 × 8387
Abundant Even Composite

7,397,334 factors as 2 × 3^2 × 7^2 × 8387. Its 36 positive divisors give a proper-divisor sum of 11,249,190, so this integer is abundant. The Collatz stopping time is 310 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7^2 × 8387
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 18,646,524
Proper Divisor Sum 11,249,190
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7397321 ← → #7397347

Radix Representation

Decimal 7397334
Binary 11100001101111111010110 (23 bits)
Octal 0o34157726
Hexadecimal 0x70DFD6

Divisor Catalog (36)

1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 8,387 16,774 25,161 50,322 58,709 75,483 117,418 150,966 176,127 352,254 410,963 528,381 821,926 1,056,762 1,232,889 2,465,778 3,698,667 7,397,334

Collatz Trajectory (310 steps to reach 1)

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

7,397,334 3,698,667 11,096,002 5,548,001 16,644,004 8,322,002 4,161,001 12,483,004 6,241,502 3,120,751 9,362,254 4,681,127 14,043,382 7,021,691 21,065,074 10,532,537 31,597,612 15,798,806 7,899,403 23,698,210 11,849,105 35,547,316 17,773,658 8,886,829 26,660,488 13,330,244 6,665,122 3,332,561 9,997,684 4,998,842 2,499,421 7,498,264 3,749,132 1,874,566 937,283 2,811,850 1,405,925 4,217,776 2,108,888 1,054,444 527,222 263,611 790,834 395,417 1,186,252 593,126 296,563 889,690 444,845 1,334,536 667,268 333,634 166,817 500,452 250,226 125,113 375,340 187,670 93,835 281,506

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