λ
Sigma Notebook

100,070

2 × 5 × 10007
Deficient Even Composite

100,070 is even and not a perfect square. Its factorization is 2 × 5 × 10007 and its 8 divisors sum to 180,144.

Prime Factor Structure

Factorization String 2 × 5 × 10007
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 180,144
Proper Divisor Sum 80,074
Digit Sum / Digital Root 8 (Root: 8)
Adjacent Primes #100069 ← → #100103

Radix Representation

Decimal 100070
Binary 11000011011100110 (17 bits)
Octal 0o303346
Hexadecimal 0x186E6

Divisor Catalog (8)

1 2 5 10 10,007 20,014 50,035 100,070

Collatz Trajectory (159 steps to reach 1)

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

100,070 50,035 150,106 75,053 225,160 112,580 56,290 28,145 84,436 42,218 21,109 63,328 31,664 15,832 7,916 3,958 1,979 5,938 2,969 8,908 4,454 2,227 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646

More profiles

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