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Atlas › Integer Profiles › Node 4,457,070

4,457,070

2 × 32 × 5 × 49523
Abundant Even Composite

4,457,070 factors as 2 × 3^2 × 5 × 49523. Its 24 positive divisors give a proper-divisor sum of 7,131,546, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 49523
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,588,616
Proper Divisor Sum 7,131,546
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4456997 ← → #4457093

Radix Representation

Decimal 4457070
Binary 10001000000001001101110 (23 bits)
Octal 0o21001156
Hexadecimal 0x44026E

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 49,523 99,046 148,569 247,615 297,138 445,707 495,230 742,845 891,414 1,485,690 2,228,535 4,457,070

Collatz Trajectory (87 steps to reach 1)

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

4,457,070 2,228,535 6,685,606 3,342,803 10,028,410 5,014,205 15,042,616 7,521,308 3,760,654 1,880,327 5,640,982 2,820,491 8,461,474 4,230,737 12,692,212 6,346,106 3,173,053 9,519,160 4,759,580 2,379,790 1,189,895 3,569,686 1,784,843 5,354,530 2,677,265 8,031,796 4,015,898 2,007,949 6,023,848 3,011,924 1,505,962 752,981 2,258,944 1,129,472 564,736 282,368 141,184 70,592 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131

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