2,365,768

2³ × 113 × 2617

Starting at 2,365,768, the Collatz iteration reaches 1 after 99 steps. The first transition is 1182884; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 113 × 2617

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,476,780

Proper Divisor Sum 2,111,012

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #2365751 ← → #2365787

Radix Representation

Decimal	2365768
Binary	1001000001100101001000 (22 bits)
Octal	0o11014510
Hexadecimal	0x241948

Divisor Catalog (16)

1 2 4 8 113 226 452 904 2,617 5,234 10,468 20,936 295,721 591,442 1,182,884 2,365,768

Collatz Trajectory (99 steps to reach 1)

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

2,365,768 1,182,884 591,442 295,721 887,164 443,582 221,791 665,374 332,687 998,062 499,031 1,497,094 748,547 2,245,642 1,122,821 3,368,464 1,684,232 842,116 421,058 210,529 631,588 315,794 157,897 473,692 236,846 118,423 355,270 177,635 532,906 266,453 799,360 399,680 199,840 99,920 49,960 24,980 12,490 6,245 18,736 9,368 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418

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