λ
Sigma Notebook

1,240,620

22 × 3 × 5 × 23 × 29 × 31
Abundant Even Composite

1,240,620 is even and not a perfect square. Its factorization is 2^2 × 3 × 5 × 23 × 29 × 31 and its 96 divisors sum to 3,870,720.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 23 × 29 × 31
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 3,870,720
Proper Divisor Sum 2,630,100
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1240607 ← → #1240621

Radix Representation

Decimal 1240620
Binary 100101110111000101100 (21 bits)
Octal 0o4567054
Hexadecimal 0x12EE2C

Divisor Catalog (60 of 96)

1 2 3 4 5 6 10 12 15 20 23 29 30 31 46 58 60 62 69 87 92 93 115 116 124 138 145 155 174 186 230 276 290 310 345 348 372 435 460 465 580 620 667 690 713 870 899 930 1,334 1,380 1,426 1,740 1,798 1,860 2,001 2,139 2,668 2,697 2,852 3,335

Collatz Trajectory (85 steps to reach 1)

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

1,240,620 620,310 310,155 930,466 465,233 1,395,700 697,850 348,925 1,046,776 523,388 261,694 130,847 392,542 196,271 588,814 294,407 883,222 441,611 1,324,834 662,417 1,987,252 993,626 496,813 1,490,440 745,220 372,610 186,305 558,916 279,458 139,729 419,188 209,594 104,797 314,392 157,196 78,598 39,299 117,898 58,949 176,848 88,424 44,212 22,106 11,053 33,160 16,580 8,290 4,145 12,436 6,218 3,109 9,328 4,664 2,332 1,166 583 1,750 875 2,626 1,313

More profiles

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