2,201,177

11 × 17 × 79 × 149

2,201,177 factors as 11 × 17 × 79 × 149. Its 16 positive divisors give a proper-divisor sum of 390,823, so this integer is deficient. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 11 × 17 × 79 × 149

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,592,000

Proper Divisor Sum 390,823

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #2201161 ← → #2201183

Radix Representation

Decimal	2201177
Binary	1000011001011001011001 (22 bits)
Octal	0o10313131
Hexadecimal	0x219659

Divisor Catalog (16)

1 11 17 79 149 187 869 1,343 1,639 2,533 11,771 14,773 27,863 129,481 200,107 2,201,177

Collatz Trajectory (148 steps to reach 1)

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

2,201,177 6,603,532 3,301,766 1,650,883 4,952,650 2,476,325 7,428,976 3,714,488 1,857,244 928,622 464,311 1,392,934 696,467 2,089,402 1,044,701 3,134,104 1,567,052 783,526 391,763 1,175,290 587,645 1,762,936 881,468 440,734 220,367 661,102 330,551 991,654 495,827 1,487,482 743,741 2,231,224 1,115,612 557,806 278,903 836,710 418,355 1,255,066 627,533 1,882,600 941,300 470,650 235,325 705,976 352,988 176,494 88,247 264,742 132,371 397,114 198,557 595,672 297,836 148,918 74,459 223,378 111,689 335,068 167,534 83,767

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