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Atlas › Integer Profiles › Node 4,516,336

4,516,336

24 × 11 × 67 × 383
Abundant Even Composite

4,516,336 factors as 2^4 × 11 × 67 × 383. Its 40 positive divisors give a proper-divisor sum of 5,197,328, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 67 × 383
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 9,713,664
Proper Divisor Sum 5,197,328
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4516327 ← → #4516367

Radix Representation

Decimal 4516336
Binary 10001001110100111110000 (23 bits)
Octal 0o21164760
Hexadecimal 0x44E9F0

Divisor Catalog (40)

1 2 4 8 11 16 22 44 67 88 134 176 268 383 536 737 766 1,072 1,474 1,532 2,948 3,064 4,213 5,896 6,128 8,426 11,792 16,852 25,661 33,704 51,322 67,408 102,644 205,288 282,271 410,576 564,542 1,129,084 2,258,168 4,516,336

Collatz Trajectory (193 steps to reach 1)

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

4,516,336 2,258,168 1,129,084 564,542 282,271 846,814 423,407 1,270,222 635,111 1,905,334 952,667 2,858,002 1,429,001 4,287,004 2,143,502 1,071,751 3,215,254 1,607,627 4,822,882 2,411,441 7,234,324 3,617,162 1,808,581 5,425,744 2,712,872 1,356,436 678,218 339,109 1,017,328 508,664 254,332 127,166 63,583 190,750 95,375 286,126 143,063 429,190 214,595 643,786 321,893 965,680 482,840 241,420 120,710 60,355 181,066 90,533 271,600 135,800 67,900 33,950 16,975 50,926 25,463 76,390 38,195 114,586 57,293 171,880

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