λ
Sigma Notebook

1,731,408

24 × 3 × 7 × 5153
Abundant Even Composite

1,731,408 is even and not a perfect square. Its factorization is 2^4 × 3 × 7 × 5153 and its 40 divisors sum to 5,112,768.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 5153
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 5,112,768
Proper Divisor Sum 3,381,360
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1731407 ← → #1731421

Radix Representation

Decimal 1731408
Binary 110100110101101010000 (21 bits)
Octal 0o6465520
Hexadecimal 0x1A6B50

Divisor Catalog (40)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 5,153 10,306 15,459 20,612 30,918 36,071 41,224 61,836 72,142 82,448 108,213 123,672 144,284 216,426 247,344 288,568 432,852 577,136 865,704 1,731,408

Collatz Trajectory (44 steps to reach 1)

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

1,731,408 865,704 432,852 216,426 108,213 324,640 162,320 81,160 40,580 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

More profiles

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