3,019,126

2 × 11 × 37 × 3709

3,019,126 factors as 2 × 11 × 37 × 3709. Its 16 positive divisors give a proper-divisor sum of 2,056,154, so this integer is deficient. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2 × 11 × 37 × 3709

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,075,280

Proper Divisor Sum 2,056,154

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #3019111 ← → #3019127

Radix Representation

Decimal	3019126
Binary	1011100001000101110110 (22 bits)
Octal	0o13410566
Hexadecimal	0x2E1176

Divisor Catalog (16)

1 2 11 22 37 74 407 814 3,709 7,418 40,799 81,598 137,233 274,466 1,509,563 3,019,126

Collatz Trajectory (89 steps to reach 1)

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

3,019,126 1,509,563 4,528,690 2,264,345 6,793,036 3,396,518 1,698,259 5,094,778 2,547,389 7,642,168 3,821,084 1,910,542 955,271 2,865,814 1,432,907 4,298,722 2,149,361 6,448,084 3,224,042 1,612,021 4,836,064 2,418,032 1,209,016 604,508 302,254 151,127 453,382 226,691 680,074 340,037 1,020,112 510,056 255,028 127,514 63,757 191,272 95,636 47,818 23,909 71,728 35,864 17,932 8,966 4,483 13,450 6,725 20,176 10,088 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355 1,066 533

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