1,514,337

3 × 11 × 109 × 421

Starting at 1,514,337, the Collatz iteration reaches 1 after 194 steps. The first transition is 4543012; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 109 × 421

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,228,160

Proper Divisor Sum 713,823

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1514329 ← → #1514363

Radix Representation

Decimal	1514337
Binary	101110001101101100001 (21 bits)
Octal	0o5615541
Hexadecimal	0x171B61

Divisor Catalog (16)

1 3 11 33 109 327 421 1,199 1,263 3,597 4,631 13,893 45,889 137,667 504,779 1,514,337

Collatz Trajectory (194 steps to reach 1)

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

1,514,337 4,543,012 2,271,506 1,135,753 3,407,260 1,703,630 851,815 2,555,446 1,277,723 3,833,170 1,916,585 5,749,756 2,874,878 1,437,439 4,312,318 2,156,159 6,468,478 3,234,239 9,702,718 4,851,359 14,554,078 7,277,039 21,831,118 10,915,559 32,746,678 16,373,339 49,120,018 24,560,009 73,680,028 36,840,014 18,420,007 55,260,022 27,630,011 82,890,034 41,445,017 124,335,052 62,167,526 31,083,763 93,251,290 46,625,645 139,876,936 69,938,468 34,969,234 17,484,617 52,453,852 26,226,926 13,113,463 39,340,390 19,670,195 59,010,586 29,505,293 88,515,880 44,257,940 22,128,970 11,064,485 33,193,456 16,596,728 8,298,364 4,149,182 2,074,591

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