λ
Sigma Notebook

2,007,546

2 × 3 × 37 × 9043
Abundant Even Composite

2,007,546 is even and not a perfect square. Its factorization is 2 × 3 × 37 × 9043 and its 16 divisors sum to 4,124,064.

Prime Factor Structure

Factorization String 2 × 3 × 37 × 9043
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,124,064
Proper Divisor Sum 2,116,518
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2007539 ← → #2007553

Radix Representation

Decimal 2007546
Binary 111101010000111111010 (21 bits)
Octal 0o7520772
Hexadecimal 0x1EA1FA

Divisor Catalog (16)

1 2 3 6 37 74 111 222 9,043 18,086 27,129 54,258 334,591 669,182 1,003,773 2,007,546

Collatz Trajectory (65 steps to reach 1)

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

2,007,546 1,003,773 3,011,320 1,505,660 752,830 376,415 1,129,246 564,623 1,693,870 846,935 2,540,806 1,270,403 3,811,210 1,905,605 5,716,816 2,858,408 1,429,204 714,602 357,301 1,071,904 535,952 267,976 133,988 66,994 33,497 100,492 50,246 25,123 75,370 37,685 113,056 56,528 28,264 14,132 7,066 3,533 10,600 5,300 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10

More profiles

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