2,938,376

2³ × 7 × 137 × 383

Starting at 2,938,376, the Collatz iteration reaches 1 after 89 steps. The first transition is 1469188; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 137 × 383

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,359,040

Proper Divisor Sum 3,420,664

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #2938361 ← → #2938379

Radix Representation

Decimal	2938376
Binary	1011001101011000001000 (22 bits)
Octal	0o13153010
Hexadecimal	0x2CD608

Divisor Catalog (32)

1 2 4 7 8 14 28 56 137 274 383 548 766 959 1,096 1,532 1,918 2,681 3,064 3,836 5,362 7,672 10,724 21,448 52,471 104,942 209,884 367,297 419,768 734,594 1,469,188 2,938,376

Collatz Trajectory (89 steps to reach 1)

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

2,938,376 1,469,188 734,594 367,297 1,101,892 550,946 275,473 826,420 413,210 206,605 619,816 309,908 154,954 77,477 232,432 116,216 58,108 29,054 14,527 43,582 21,791 65,374 32,687 98,062 49,031 147,094 73,547 220,642 110,321 330,964 165,482 82,741 248,224 124,112 62,056 31,028 15,514 7,757 23,272 11,636 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520

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