2,201,178

2 × 3 × 7² × 7487

2,201,178 factors as 2 × 3 × 7^2 × 7487. Its 24 positive divisors give a proper-divisor sum of 2,920,614, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 7487

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,121,792

Proper Divisor Sum 2,920,614

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2201161 ← → #2201183

Radix Representation

Decimal	2201178
Binary	1000011001011001011010 (22 bits)
Octal	0o10313132
Hexadecimal	0x21965A

Divisor Catalog (24)

Collatz Trajectory (86 steps to reach 1)

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

2,201,178 1,100,589 3,301,768 1,650,884 825,442 412,721 1,238,164 619,082 309,541 928,624 464,312 232,156 116,078 58,039 174,118 87,059 261,178 130,589 391,768 195,884 97,942 48,971 146,914 73,457 220,372 110,186 55,093 165,280 82,640 41,320 20,660 10,330 5,165 15,496 7,748 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65

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