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Atlas › Integer Profiles › Node 7,345,908

7,345,908

22 × 32 × 419 × 487
Abundant Even Composite

7,345,908 factors as 2^2 × 3^2 × 419 × 487. Its 36 positive divisors give a proper-divisor sum of 11,305,452, so this integer is abundant. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 419 × 487
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 18,651,360
Proper Divisor Sum 11,305,452
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7345889 ← → #7345909

Radix Representation

Decimal 7345908
Binary 11100000001011011110100 (23 bits)
Octal 0o34013364
Hexadecimal 0x7016F4

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 419 487 838 974 1,257 1,461 1,676 1,948 2,514 2,922 3,771 4,383 5,028 5,844 7,542 8,766 15,084 17,532 204,053 408,106 612,159 816,212 1,224,318 1,836,477 2,448,636 3,672,954 7,345,908

Collatz Trajectory (67 steps to reach 1)

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

7,345,908 3,672,954 1,836,477 5,509,432 2,754,716 1,377,358 688,679 2,066,038 1,033,019 3,099,058 1,549,529 4,648,588 2,324,294 1,162,147 3,486,442 1,743,221 5,229,664 2,614,832 1,307,416 653,708 326,854 163,427 490,282 245,141 735,424 367,712 183,856 91,928 45,964 22,982 11,491 34,474 17,237 51,712 25,856 12,928 6,464 3,232 1,616 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

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