1,027,209

3 × 29 × 11807

1,027,209 is odd and not a perfect square. Its factorization is 3 × 29 × 11807 and its 8 divisors sum to 1,416,960.

Prime Factor Structure

Factorization String 3 × 29 × 11807

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,416,960

Proper Divisor Sum 389,751

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1027207 ← → #1027211

Radix Representation

Decimal	1027209
Binary	11111010110010001001 (20 bits)
Octal	0o3726211
Hexadecimal	0xFAC89

Divisor Catalog (8)

1 3 29 87 11,807 35,421 342,403 1,027,209

Collatz Trajectory (165 steps to reach 1)

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

1,027,209 3,081,628 1,540,814 770,407 2,311,222 1,155,611 3,466,834 1,733,417 5,200,252 2,600,126 1,300,063 3,900,190 1,950,095 5,850,286 2,925,143 8,775,430 4,387,715 13,163,146 6,581,573 19,744,720 9,872,360 4,936,180 2,468,090 1,234,045 3,702,136 1,851,068 925,534 462,767 1,388,302 694,151 2,082,454 1,041,227 3,123,682 1,561,841 4,685,524 2,342,762 1,171,381 3,514,144 1,757,072 878,536 439,268 219,634 109,817 329,452 164,726 82,363 247,090 123,545 370,636 185,318 92,659 277,978 138,989 416,968 208,484 104,242 52,121 156,364 78,182 39,091

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