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Atlas › Integer Profiles › Node 3,484,910

3,484,910

2 × 5 × 11 × 13 × 2437
Abundant Even Composite

3,484,910 factors as 2 × 5 × 11 × 13 × 2437. Its 32 positive divisors give a proper-divisor sum of 3,887,602, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 13 × 2437
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,372,512
Proper Divisor Sum 3,887,602
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3484907 ← → #3484913

Radix Representation

Decimal 3484910
Binary 1101010010110011101110 (22 bits)
Octal 0o15226356
Hexadecimal 0x352CEE

Divisor Catalog (32)

1 2 5 10 11 13 22 26 55 65 110 130 143 286 715 1,430 2,437 4,874 12,185 24,370 26,807 31,681 53,614 63,362 134,035 158,405 268,070 316,810 348,491 696,982 1,742,455 3,484,910

Collatz Trajectory (159 steps to reach 1)

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

3,484,910 1,742,455 5,227,366 2,613,683 7,841,050 3,920,525 11,761,576 5,880,788 2,940,394 1,470,197 4,410,592 2,205,296 1,102,648 551,324 275,662 137,831 413,494 206,747 620,242 310,121 930,364 465,182 232,591 697,774 348,887 1,046,662 523,331 1,569,994 784,997 2,354,992 1,177,496 588,748 294,374 147,187 441,562 220,781 662,344 331,172 165,586 82,793 248,380 124,190 62,095 186,286 93,143 279,430 139,715 419,146 209,573 628,720 314,360 157,180 78,590 39,295 117,886 58,943 176,830 88,415 265,246 132,623

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