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Atlas › Integer Profiles › Node 3,427,820

3,427,820

22 × 5 × 11 × 15581
Abundant Even Composite

3,427,820 factors as 2^2 × 5 × 11 × 15581. Its 24 positive divisors give a proper-divisor sum of 4,425,508, so this integer is abundant. The Collatz stopping time is 252 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 15581
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,853,328
Proper Divisor Sum 4,425,508
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3427819 ← → #3427843

Radix Representation

Decimal 3427820
Binary 1101000100110111101100 (22 bits)
Octal 0o15046754
Hexadecimal 0x344DEC

Divisor Catalog (24)

1 2 4 5 10 11 20 22 44 55 110 220 15,581 31,162 62,324 77,905 155,810 171,391 311,620 342,782 685,564 856,955 1,713,910 3,427,820

Collatz Trajectory (252 steps to reach 1)

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

3,427,820 1,713,910 856,955 2,570,866 1,285,433 3,856,300 1,928,150 964,075 2,892,226 1,446,113 4,338,340 2,169,170 1,084,585 3,253,756 1,626,878 813,439 2,440,318 1,220,159 3,660,478 1,830,239 5,490,718 2,745,359 8,236,078 4,118,039 12,354,118 6,177,059 18,531,178 9,265,589 27,796,768 13,898,384 6,949,192 3,474,596 1,737,298 868,649 2,605,948 1,302,974 651,487 1,954,462 977,231 2,931,694 1,465,847 4,397,542 2,198,771 6,596,314 3,298,157 9,894,472 4,947,236 2,473,618 1,236,809 3,710,428 1,855,214 927,607 2,782,822 1,391,411 4,174,234 2,087,117 6,261,352 3,130,676 1,565,338 782,669

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