2,201,121

3³ × 13 × 6271

2,201,121 factors as 3^3 × 13 × 6271. Its 16 positive divisors give a proper-divisor sum of 1,311,199, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 3^3 × 13 × 6271

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,512,320

Proper Divisor Sum 1,311,199

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #2201119 ← → #2201137

Radix Representation

Decimal	2201121
Binary	1000011001011000100001 (22 bits)
Octal	0o10313041
Hexadecimal	0x219621

Divisor Catalog (16)

1 3 9 13 27 39 117 351 6,271 18,813 56,439 81,523 169,317 244,569 733,707 2,201,121

Collatz Trajectory (179 steps to reach 1)

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

2,201,121 6,603,364 3,301,682 1,650,841 4,952,524 2,476,262 1,238,131 3,714,394 1,857,197 5,571,592 2,785,796 1,392,898 696,449 2,089,348 1,044,674 522,337 1,567,012 783,506 391,753 1,175,260 587,630 293,815 881,446 440,723 1,322,170 661,085 1,983,256 991,628 495,814 247,907 743,722 371,861 1,115,584 557,792 278,896 139,448 69,724 34,862 17,431 52,294 26,147 78,442 39,221 117,664 58,832 29,416 14,708 7,354 3,677 11,032 5,516 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388

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