λ
Sequence Observatory

2,170,024

23 × 271253
Deficient Even Composite

Starting at 2,170,024, the Collatz iteration reaches 1 after 65 steps. The first transition is 1085012; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 271253
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,068,810
Proper Divisor Sum 1,898,786
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #2169997 ← → #2170039

Radix Representation

Decimal 2170024
Binary 1000010001110010101000 (22 bits)
Octal 0o10216250
Hexadecimal 0x211CA8

Divisor Catalog (8)

1 2 4 8 271,253 542,506 1,085,012 2,170,024

Collatz Trajectory (65 steps to reach 1)

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

2,170,024 1,085,012 542,506 271,253 813,760 406,880 203,440 101,720 50,860 25,430 12,715 38,146 19,073 57,220 28,610 14,305 42,916 21,458 10,729 32,188 16,094 8,047 24,142 12,071 36,214 18,107 54,322 27,161 81,484 40,742 20,371 61,114 30,557 91,672 45,836 22,918 11,459 34,378 17,189 51,568 25,784 12,892 6,446 3,223 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720 1,360 680 340 170 85 256 128 64

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