2,116,359

3² × 7² × 4799

2,116,359 factors as 3^2 × 7^2 × 4799. Its 18 positive divisors give a proper-divisor sum of 1,440,441, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 4799

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 3,556,800

Proper Divisor Sum 1,440,441

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2116357 ← → #2116393

Radix Representation

Decimal	2116359
Binary	1000000100101100000111 (22 bits)
Octal	0o10045407
Hexadecimal	0x204B07

Divisor Catalog (18)

1 3 7 9 21 49 63 147 441 4,799 14,397 33,593 43,191 100,779 235,151 302,337 705,453 2,116,359

Collatz Trajectory (104 steps to reach 1)

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

2,116,359 6,349,078 3,174,539 9,523,618 4,761,809 14,285,428 7,142,714 3,571,357 10,714,072 5,357,036 2,678,518 1,339,259 4,017,778 2,008,889 6,026,668 3,013,334 1,506,667 4,520,002 2,260,001 6,780,004 3,390,002 1,695,001 5,085,004 2,542,502 1,271,251 3,813,754 1,906,877 5,720,632 2,860,316 1,430,158 715,079 2,145,238 1,072,619 3,217,858 1,608,929 4,826,788 2,413,394 1,206,697 3,620,092 1,810,046 905,023 2,715,070 1,357,535 4,072,606 2,036,303 6,108,910 3,054,455 9,163,366 4,581,683 13,745,050 6,872,525 20,617,576 10,308,788 5,154,394 2,577,197 7,731,592 3,865,796 1,932,898 966,449 2,899,348

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