2,723,100

2² × 3 × 5² × 29 × 313

Starting at 2,723,100, the Collatz iteration reaches 1 after 169 steps. The first transition is 1361550; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 29 × 313

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 8,176,560

Proper Divisor Sum 5,453,460

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #2723069 ← → #2723107

Radix Representation

Decimal	2723100
Binary	1010011000110100011100 (22 bits)
Octal	0o12306434
Hexadecimal	0x298D1C

Divisor Catalog (60 of 72)

1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 313 348 435 580 626 725 870 939 1,252 1,450 1,565 1,740 1,878 2,175 2,900 3,130 3,756 4,350 4,695 6,260 7,825 8,700 9,077 9,390 15,650 18,154 18,780 23,475 27,231 31,300 36,308 45,385 46,950 54,462 90,770

Collatz Trajectory (169 steps to reach 1)

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

2,723,100 1,361,550 680,775 2,042,326 1,021,163 3,063,490 1,531,745 4,595,236 2,297,618 1,148,809 3,446,428 1,723,214 861,607 2,584,822 1,292,411 3,877,234 1,938,617 5,815,852 2,907,926 1,453,963 4,361,890 2,180,945 6,542,836 3,271,418 1,635,709 4,907,128 2,453,564 1,226,782 613,391 1,840,174 920,087 2,760,262 1,380,131 4,140,394 2,070,197 6,210,592 3,105,296 1,552,648 776,324 388,162 194,081 582,244 291,122 145,561 436,684 218,342 109,171 327,514 163,757 491,272 245,636 122,818 61,409 184,228 92,114 46,057 138,172 69,086 34,543 103,630

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