2,753,289

3² × 7 × 11 × 29 × 137

Starting at 2,753,289, the Collatz iteration reaches 1 after 107 steps. The first transition is 8259868; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 11 × 29 × 137

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 5,166,720

Proper Divisor Sum 2,413,431

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2753287 ← → #2753291

Radix Representation

Decimal	2753289
Binary	1010100000001100001001 (22 bits)
Octal	0o12401411
Hexadecimal	0x2A0309

Divisor Catalog (48)

1 3 7 9 11 21 29 33 63 77 87 99 137 203 231 261 319 411 609 693 957 959 1,233 1,507 1,827 2,233 2,871 2,877 3,973 4,521 6,699 8,631 10,549 11,919 13,563 20,097 27,811 31,647 35,757 43,703 83,433 94,941 131,109 250,299 305,921 393,327 917,763 2,753,289

Collatz Trajectory (107 steps to reach 1)

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

2,753,289 8,259,868 4,129,934 2,064,967 6,194,902 3,097,451 9,292,354 4,646,177 13,938,532 6,969,266 3,484,633 10,453,900 5,226,950 2,613,475 7,840,426 3,920,213 11,760,640 5,880,320 2,940,160 1,470,080 735,040 367,520 183,760 91,880 45,940 22,970 11,485 34,456 17,228 8,614 4,307 12,922 6,461 19,384 9,692 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494

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