λ
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Atlas › Integer Profiles › Node 4,097,536

4,097,536

29 × 53 × 151
Abundant Even Composite

4,097,536 factors as 2^9 × 53 × 151. Its 40 positive divisors give a proper-divisor sum of 4,299,248, so this integer is abundant. The Collatz stopping time is 53 steps.

Prime Factor Structure

Factorization String 2^9 × 53 × 151
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 8,396,784
Proper Divisor Sum 4,299,248
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4097503 ← → #4097537

Radix Representation

Decimal 4097536
Binary 1111101000011000000000 (22 bits)
Octal 0o17503000
Hexadecimal 0x3E8600

Divisor Catalog (40)

1 2 4 8 16 32 53 64 106 128 151 212 256 302 424 512 604 848 1,208 1,696 2,416 3,392 4,832 6,784 8,003 9,664 13,568 16,006 19,328 27,136 32,012 38,656 64,024 77,312 128,048 256,096 512,192 1,024,384 2,048,768 4,097,536

Collatz Trajectory (53 steps to reach 1)

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

4,097,536 2,048,768 1,024,384 512,192 256,096 128,048 64,024 32,012 16,006 8,003 24,010 12,005 36,016 18,008 9,004 4,502 2,251 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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