2,124,207

3² × 37 × 6379

2,124,207 factors as 3^2 × 37 × 6379. Its 12 positive divisors give a proper-divisor sum of 1,027,513, so this integer is deficient. The Collatz stopping time is 272 steps.

Prime Factor Structure

Factorization String 3^2 × 37 × 6379

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,151,720

Proper Divisor Sum 1,027,513

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2124197 ← → #2124223

Radix Representation

Decimal	2124207
Binary	1000000110100110101111 (22 bits)
Octal	0o10064657
Hexadecimal	0x2069AF

Divisor Catalog (12)

1 3 9 37 111 333 6,379 19,137 57,411 236,023 708,069 2,124,207

Collatz Trajectory (272 steps to reach 1)

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

2,124,207 6,372,622 3,186,311 9,558,934 4,779,467 14,338,402 7,169,201 21,507,604 10,753,802 5,376,901 16,130,704 8,065,352 4,032,676 2,016,338 1,008,169 3,024,508 1,512,254 756,127 2,268,382 1,134,191 3,402,574 1,701,287 5,103,862 2,551,931 7,655,794 3,827,897 11,483,692 5,741,846 2,870,923 8,612,770 4,306,385 12,919,156 6,459,578 3,229,789 9,689,368 4,844,684 2,422,342 1,211,171 3,633,514 1,816,757 5,450,272 2,725,136 1,362,568 681,284 340,642 170,321 510,964 255,482 127,741 383,224 191,612 95,806 47,903 143,710 71,855 215,566 107,783 323,350 161,675 485,026

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