2,013,345

3² × 5 × 44741

2,013,345 factors as 3^2 × 5 × 44741. Its 12 positive divisors give a proper-divisor sum of 1,476,531, so this integer is deficient. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 44741

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,489,876

Proper Divisor Sum 1,476,531

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2013343 ← → #2013359

Radix Representation

Decimal	2013345
Binary	111101011100010100001 (21 bits)
Octal	0o7534241
Hexadecimal	0x1EB8A1

Divisor Catalog (12)

1 3 5 9 15 45 44,741 134,223 223,705 402,669 671,115 2,013,345

Collatz Trajectory (215 steps to reach 1)

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

2,013,345 6,040,036 3,020,018 1,510,009 4,530,028 2,265,014 1,132,507 3,397,522 1,698,761 5,096,284 2,548,142 1,274,071 3,822,214 1,911,107 5,733,322 2,866,661 8,599,984 4,299,992 2,149,996 1,074,998 537,499 1,612,498 806,249 2,418,748 1,209,374 604,687 1,814,062 907,031 2,721,094 1,360,547 4,081,642 2,040,821 6,122,464 3,061,232 1,530,616 765,308 382,654 191,327 573,982 286,991 860,974 430,487 1,291,462 645,731 1,937,194 968,597 2,905,792 1,452,896 726,448 363,224 181,612 90,806 45,403 136,210 68,105 204,316 102,158 51,079 153,238 76,619

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