2,244,927

3 × 31 × 101 × 239

Starting at 2,244,927, the Collatz iteration reaches 1 after 109 steps. The first transition is 6734782; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 31 × 101 × 239

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,133,440

Proper Divisor Sum 888,513

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2244923 ← → #2244929

Radix Representation

Decimal	2244927
Binary	1000100100000100111111 (22 bits)
Octal	0o10440477
Hexadecimal	0x22413F

Divisor Catalog (16)

1 3 31 93 101 239 303 717 3,131 7,409 9,393 22,227 24,139 72,417 748,309 2,244,927

Collatz Trajectory (109 steps to reach 1)

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

2,244,927 6,734,782 3,367,391 10,102,174 5,051,087 15,153,262 7,576,631 22,729,894 11,364,947 34,094,842 17,047,421 51,142,264 25,571,132 12,785,566 6,392,783 19,178,350 9,589,175 28,767,526 14,383,763 43,151,290 21,575,645 64,726,936 32,363,468 16,181,734 8,090,867 24,272,602 12,136,301 36,408,904 18,204,452 9,102,226 4,551,113 13,653,340 6,826,670 3,413,335 10,240,006 5,120,003 15,360,010 7,680,005 23,040,016 11,520,008 5,760,004 2,880,002 1,440,001 4,320,004 2,160,002 1,080,001 3,240,004 1,620,002 810,001 2,430,004 1,215,002 607,501 1,822,504 911,252 455,626 227,813 683,440 341,720 170,860 85,430

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