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Atlas › Integer Profiles › Node 2,034,424

2,034,424

23 × 7 × 17 × 2137
Abundant Even Composite

2,034,424 factors as 2^3 × 7 × 17 × 2137. Its 32 positive divisors give a proper-divisor sum of 2,583,656, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 17 × 2137
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,618,080
Proper Divisor Sum 2,583,656
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2034421 ← → #2034427

Radix Representation

Decimal 2034424
Binary 111110000101011111000 (21 bits)
Octal 0o7605370
Hexadecimal 0x1F0AF8

Divisor Catalog (32)

1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 2,137 4,274 8,548 14,959 17,096 29,918 36,329 59,836 72,658 119,672 145,316 254,303 290,632 508,606 1,017,212 2,034,424

Collatz Trajectory (135 steps to reach 1)

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

2,034,424 1,017,212 508,606 254,303 762,910 381,455 1,144,366 572,183 1,716,550 858,275 2,574,826 1,287,413 3,862,240 1,931,120 965,560 482,780 241,390 120,695 362,086 181,043 543,130 271,565 814,696 407,348 203,674 101,837 305,512 152,756 76,378 38,189 114,568 57,284 28,642 14,321 42,964 21,482 10,741 32,224 16,112 8,056 4,028 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153

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