2,121,116

2² × 530279

2,121,116 factors as 2^2 × 530279. Its 6 positive divisors give a proper-divisor sum of 1,590,844, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^2 × 530279

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 3,711,960

Proper Divisor Sum 1,590,844

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #2121043 ← → #2121121

Radix Representation

Decimal	2121116
Binary	1000000101110110011100 (22 bits)
Octal	0o10056634
Hexadecimal	0x205D9C

Divisor Catalog (6)

1 2 4 530,279 1,060,558 2,121,116

Collatz Trajectory (104 steps to reach 1)

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

2,121,116 1,060,558 530,279 1,590,838 795,419 2,386,258 1,193,129 3,579,388 1,789,694 894,847 2,684,542 1,342,271 4,026,814 2,013,407 6,040,222 3,020,111 9,060,334 4,530,167 13,590,502 6,795,251 20,385,754 10,192,877 30,578,632 15,289,316 7,644,658 3,822,329 11,466,988 5,733,494 2,866,747 8,600,242 4,300,121 12,900,364 6,450,182 3,225,091 9,675,274 4,837,637 14,512,912 7,256,456 3,628,228 1,814,114 907,057 2,721,172 1,360,586 680,293 2,040,880 1,020,440 510,220 255,110 127,555 382,666 191,333 574,000 287,000 143,500 71,750 35,875 107,626 53,813 161,440 80,720

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