λ
Sigma Notebook

4,172,240

24 × 5 × 52153
Abundant Even Composite

4,172,240 is even and not a perfect square. Its factorization is 2^4 × 5 × 52153 and its 20 divisors sum to 9,700,644.

Prime Factor Structure

Factorization String 2^4 × 5 × 52153
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 9,700,644
Proper Divisor Sum 5,528,404
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4172239 ← → #4172243

Radix Representation

Decimal 4172240
Binary 1111111010100111010000 (22 bits)
Octal 0o17724720
Hexadecimal 0x3FA9D0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 52,153 104,306 208,612 260,765 417,224 521,530 834,448 1,043,060 2,086,120 4,172,240

Collatz Trajectory (105 steps to reach 1)

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

4,172,240 2,086,120 1,043,060 521,530 260,765 782,296 391,148 195,574 97,787 293,362 146,681 440,044 220,022 110,011 330,034 165,017 495,052 247,526 123,763 371,290 185,645 556,936 278,468 139,234 69,617 208,852 104,426 52,213 156,640 78,320 39,160 19,580 9,790 4,895 14,686 7,343 22,030 11,015 33,046 16,523 49,570 24,785 74,356 37,178 18,589 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412

More profiles

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