λ
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7,550,004

22 × 3 × 7 × 11 × 8171
Abundant Even Composite

7,550,004 factors as 2^2 × 3 × 7 × 11 × 8171. Its 48 positive divisors give a proper-divisor sum of 14,416,332, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 11 × 8171
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,966,336
Proper Divisor Sum 14,416,332
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #7549999 ← → #7550017

Radix Representation

Decimal 7550004
Binary 11100110011010000110100 (23 bits)
Octal 0o34632064
Hexadecimal 0x733434

Divisor Catalog (48)

1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 8,171 16,342 24,513 32,684 49,026 57,197 89,881 98,052 114,394 171,591 179,762 228,788 269,643 343,182 359,524 539,286 629,167 686,364 1,078,572 1,258,334 1,887,501 2,516,668 3,775,002 7,550,004

Collatz Trajectory (111 steps to reach 1)

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

7,550,004 3,775,002 1,887,501 5,662,504 2,831,252 1,415,626 707,813 2,123,440 1,061,720 530,860 265,430 132,715 398,146 199,073 597,220 298,610 149,305 447,916 223,958 111,979 335,938 167,969 503,908 251,954 125,977 377,932 188,966 94,483 283,450 141,725 425,176 212,588 106,294 53,147 159,442 79,721 239,164 119,582 59,791 179,374 89,687 269,062 134,531 403,594 201,797 605,392 302,696 151,348 75,674 37,837 113,512 56,756 28,378 14,189 42,568 21,284 10,642 5,321 15,964 7,982

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