λ
Sequence Observatory

2,370,738

2 × 3 × 37 × 59 × 181
Abundant Even Composite

Starting at 2,370,738, the Collatz iteration reaches 1 after 148 steps. The first transition is 1185369; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 37 × 59 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,979,520
Proper Divisor Sum 2,608,782
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2370737 ← → #2370811

Radix Representation

Decimal 2370738
Binary 1001000010110010110010 (22 bits)
Octal 0o11026262
Hexadecimal 0x242CB2

Divisor Catalog (32)

1 2 3 6 37 59 74 111 118 177 181 222 354 362 543 1,086 2,183 4,366 6,549 6,697 10,679 13,098 13,394 20,091 21,358 32,037 40,182 64,074 395,123 790,246 1,185,369 2,370,738

Collatz Trajectory (148 steps to reach 1)

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

2,370,738 1,185,369 3,556,108 1,778,054 889,027 2,667,082 1,333,541 4,000,624 2,000,312 1,000,156 500,078 250,039 750,118 375,059 1,125,178 562,589 1,687,768 843,884 421,942 210,971 632,914 316,457 949,372 474,686 237,343 712,030 356,015 1,068,046 534,023 1,602,070 801,035 2,403,106 1,201,553 3,604,660 1,802,330 901,165 2,703,496 1,351,748 675,874 337,937 1,013,812 506,906 253,453 760,360 380,180 190,090 95,045 285,136 142,568 71,284 35,642 17,821 53,464 26,732 13,366 6,683 20,050 10,025 30,076 15,038

More profiles

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