2,100,733

2100733

Starting at 2,100,733, the Collatz iteration reaches 1 after 272 steps. The first transition is 6302200; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 2100733

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 2,100,734

Proper Divisor Sum 1

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #2100727 ← → #2100737

Radix Representation

Decimal	2100733
Binary	1000000000110111111101 (22 bits)
Octal	0o10006775
Hexadecimal	0x200DFD

Divisor Catalog (2)

1 2,100,733

Collatz Trajectory (272 steps to reach 1)

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

2,100,733 6,302,200 3,151,100 1,575,550 787,775 2,363,326 1,181,663 3,544,990 1,772,495 5,317,486 2,658,743 7,976,230 3,988,115 11,964,346 5,982,173 17,946,520 8,973,260 4,486,630 2,243,315 6,729,946 3,364,973 10,094,920 5,047,460 2,523,730 1,261,865 3,785,596 1,892,798 946,399 2,839,198 1,419,599 4,258,798 2,129,399 6,388,198 3,194,099 9,582,298 4,791,149 14,373,448 7,186,724 3,593,362 1,796,681 5,390,044 2,695,022 1,347,511 4,042,534 2,021,267 6,063,802 3,031,901 9,095,704 4,547,852 2,273,926 1,136,963 3,410,890 1,705,445 5,116,336 2,558,168 1,279,084 639,542 319,771 959,314 479,657

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