λ
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Atlas › Integer Profiles › Node 4,252,017

4,252,017

3 × 7 × 11 × 79 × 233
Deficient Odd Composite

4,252,017 factors as 3 × 7 × 11 × 79 × 233. Its 32 positive divisors give a proper-divisor sum of 2,936,463, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 79 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,188,480
Proper Divisor Sum 2,936,463
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4251971 ← → #4252019

Radix Representation

Decimal 4252017
Binary 10000001110000101110001 (23 bits)
Octal 0o20160561
Hexadecimal 0x40E171

Divisor Catalog (32)

1 3 7 11 21 33 77 79 231 233 237 553 699 869 1,631 1,659 2,563 2,607 4,893 6,083 7,689 17,941 18,249 18,407 53,823 55,221 128,849 202,477 386,547 607,431 1,417,339 4,252,017

Collatz Trajectory (74 steps to reach 1)

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

4,252,017 12,756,052 6,378,026 3,189,013 9,567,040 4,783,520 2,391,760 1,195,880 597,940 298,970 149,485 448,456 224,228 112,114 56,057 168,172 84,086 42,043 126,130 63,065 189,196 94,598 47,299 141,898 70,949 212,848 106,424 53,212 26,606 13,303 39,910 19,955 59,866 29,933 89,800 44,900 22,450 11,225 33,676 16,838 8,419 25,258 12,629 37,888 18,944 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28 14 7 22

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