λ
Match Zalai

7,553,058

2 × 3 × 349 × 3607
Abundant Even Composite

7,553,058 factors as 2 × 3 × 349 × 3607. Its 16 positive divisors give a proper-divisor sum of 7,600,542, so this integer is abundant. The Collatz stopping time is 54 steps.

Prime Factor Structure

Factorization String 2 × 3 × 349 × 3607
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,153,600
Proper Divisor Sum 7,600,542
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7553047 ← → #7553059

Radix Representation

Decimal 7553058
Binary 11100110100000000100010 (23 bits)
Octal 0o34640042
Hexadecimal 0x734022

Divisor Catalog (16)

1 2 3 6 349 698 1,047 2,094 3,607 7,214 10,821 21,642 1,258,843 2,517,686 3,776,529 7,553,058

Collatz Trajectory (54 steps to reach 1)

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

7,553,058 3,776,529 11,329,588 5,664,794 2,832,397 8,497,192 4,248,596 2,124,298 1,062,149 3,186,448 1,593,224 796,612 398,306 199,153 597,460 298,730 149,365 448,096 224,048 112,024 56,012 28,006 14,003 42,010 21,005 63,016 31,508 15,754 7,877 23,632 11,816 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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