λ
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Atlas › Integer Profiles › Node 4,272,736

4,272,736

25 × 13 × 10271
Abundant Even Composite

4,272,736 factors as 2^5 × 13 × 10271. Its 24 positive divisors give a proper-divisor sum of 4,787,168, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 10271
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,059,904
Proper Divisor Sum 4,787,168
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4272731 ← → #4272743

Radix Representation

Decimal 4272736
Binary 10000010011001001100000 (23 bits)
Octal 0o20231140
Hexadecimal 0x413260

Divisor Catalog (24)

1 2 4 8 13 16 26 32 52 104 208 416 10,271 20,542 41,084 82,168 133,523 164,336 267,046 328,672 534,092 1,068,184 2,136,368 4,272,736

Collatz Trajectory (74 steps to reach 1)

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

4,272,736 2,136,368 1,068,184 534,092 267,046 133,523 400,570 200,285 600,856 300,428 150,214 75,107 225,322 112,661 337,984 168,992 84,496 42,248 21,124 10,562 5,281 15,844 7,922 3,961 11,884 5,942 2,971 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22

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