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Atlas › Integer Profiles › Node 3,976,210

3,976,210

2 × 5 × 7 × 43 × 1321
Abundant Even Composite

3,976,210 factors as 2 × 5 × 7 × 43 × 1321. Its 32 positive divisors give a proper-divisor sum of 4,399,982, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 43 × 1321
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,376,192
Proper Divisor Sum 4,399,982
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3976207 ← → #3976223

Radix Representation

Decimal 3976210
Binary 1111001010110000010010 (22 bits)
Octal 0o17126022
Hexadecimal 0x3CAC12

Divisor Catalog (32)

1 2 5 7 10 14 35 43 70 86 215 301 430 602 1,321 1,505 2,642 3,010 6,605 9,247 13,210 18,494 46,235 56,803 92,470 113,606 284,015 397,621 568,030 795,242 1,988,105 3,976,210

Collatz Trajectory (123 steps to reach 1)

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

3,976,210 1,988,105 5,964,316 2,982,158 1,491,079 4,473,238 2,236,619 6,709,858 3,354,929 10,064,788 5,032,394 2,516,197 7,548,592 3,774,296 1,887,148 943,574 471,787 1,415,362 707,681 2,123,044 1,061,522 530,761 1,592,284 796,142 398,071 1,194,214 597,107 1,791,322 895,661 2,686,984 1,343,492 671,746 335,873 1,007,620 503,810 251,905 755,716 377,858 188,929 566,788 283,394 141,697 425,092 212,546 106,273 318,820 159,410 79,705 239,116 119,558 59,779 179,338 89,669 269,008 134,504 67,252 33,626 16,813 50,440 25,220

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