λ
Sigma Notebook

1,247,100

22 × 3 × 52 × 4157
Abundant Even Composite

1,247,100 is even and not a perfect square. Its factorization is 2^2 × 3 × 5^2 × 4157 and its 36 divisors sum to 3,609,144.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 4157
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 3,609,144
Proper Divisor Sum 2,362,044
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1247089 ← → #1247101

Radix Representation

Decimal 1247100
Binary 100110000011101111100 (21 bits)
Octal 0o4603574
Hexadecimal 0x13077C

Divisor Catalog (36)

1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 4,157 8,314 12,471 16,628 20,785 24,942 41,570 49,884 62,355 83,140 103,925 124,710 207,850 249,420 311,775 415,700 623,550 1,247,100

Collatz Trajectory (173 steps to reach 1)

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

1,247,100 623,550 311,775 935,326 467,663 1,402,990 701,495 2,104,486 1,052,243 3,156,730 1,578,365 4,735,096 2,367,548 1,183,774 591,887 1,775,662 887,831 2,663,494 1,331,747 3,995,242 1,997,621 5,992,864 2,996,432 1,498,216 749,108 374,554 187,277 561,832 280,916 140,458 70,229 210,688 105,344 52,672 26,336 13,168 6,584 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322

More profiles

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