3,512,891

19² × 37 × 263

3,512,891 factors as 19^2 × 37 × 263. Its 12 positive divisors give a proper-divisor sum of 309,301, so this integer is deficient. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 19^2 × 37 × 263

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,822,192

Proper Divisor Sum 309,301

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3512869 ← → #3512909

Radix Representation

Decimal	3512891
Binary	1101011001101000111011 (22 bits)
Octal	0o15315073
Hexadecimal	0x359A3B

Divisor Catalog (12)

1 19 37 263 361 703 4,997 9,731 13,357 94,943 184,889 3,512,891

Collatz Trajectory (190 steps to reach 1)

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

3,512,891 10,538,674 5,269,337 15,808,012 7,904,006 3,952,003 11,856,010 5,928,005 17,784,016 8,892,008 4,446,004 2,223,002 1,111,501 3,334,504 1,667,252 833,626 416,813 1,250,440 625,220 312,610 156,305 468,916 234,458 117,229 351,688 175,844 87,922 43,961 131,884 65,942 32,971 98,914 49,457 148,372 74,186 37,093 111,280 55,640 27,820 13,910 6,955 20,866 10,433 31,300 15,650 7,825 23,476 11,738 5,869 17,608 8,804 4,402 2,201 6,604 3,302 1,651 4,954 2,477 7,432 3,716

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