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Atlas › Integer Profiles › Node 5,201,172

5,201,172

22 × 35 × 5351
Abundant Even Composite

5,201,172 factors as 2^2 × 3^5 × 5351. Its 36 positive divisors give a proper-divisor sum of 8,435,724, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^2 × 3^5 × 5351
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 13,636,896
Proper Divisor Sum 8,435,724
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #5201171 ← → #5201173

Radix Representation

Decimal 5201172
Binary 10011110101110100010100 (23 bits)
Octal 0o23656424
Hexadecimal 0x4F5D14

Divisor Catalog (36)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 5,351 10,702 16,053 21,404 32,106 48,159 64,212 96,318 144,477 192,636 288,954 433,431 577,908 866,862 1,300,293 1,733,724 2,600,586 5,201,172

Collatz Trajectory (188 steps to reach 1)

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

5,201,172 2,600,586 1,300,293 3,900,880 1,950,440 975,220 487,610 243,805 731,416 365,708 182,854 91,427 274,282 137,141 411,424 205,712 102,856 51,428 25,714 12,857 38,572 19,286 9,643 28,930 14,465 43,396 21,698 10,849 32,548 16,274 8,137 24,412 12,206 6,103 18,310 9,155 27,466 13,733 41,200 20,600 10,300 5,150 2,575 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506

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