λ
Sequence Observatory

4,237,294

2 × 1307 × 1621
Deficient Even Composite

Starting at 4,237,294, the Collatz iteration reaches 1 after 167 steps. The first transition is 2118647; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 1307 × 1621
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,364,728
Proper Divisor Sum 2,127,434
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4237283 ← → #4237319

Radix Representation

Decimal 4237294
Binary 10000001010011111101110 (23 bits)
Octal 0o20123756
Hexadecimal 0x40A7EE

Divisor Catalog (8)

1 2 1,307 1,621 2,614 3,242 2,118,647 4,237,294

Collatz Trajectory (167 steps to reach 1)

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

4,237,294 2,118,647 6,355,942 3,177,971 9,533,914 4,766,957 14,300,872 7,150,436 3,575,218 1,787,609 5,362,828 2,681,414 1,340,707 4,022,122 2,011,061 6,033,184 3,016,592 1,508,296 754,148 377,074 188,537 565,612 282,806 141,403 424,210 212,105 636,316 318,158 159,079 477,238 238,619 715,858 357,929 1,073,788 536,894 268,447 805,342 402,671 1,208,014 604,007 1,812,022 906,011 2,718,034 1,359,017 4,077,052 2,038,526 1,019,263 3,057,790 1,528,895 4,586,686 2,293,343 6,880,030 3,440,015 10,320,046 5,160,023 15,480,070 7,740,035 23,220,106 11,610,053 34,830,160

More profiles

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