2,829,046

2 × 11 × 23 × 5591

2,829,046 factors as 2 × 11 × 23 × 5591. Its 16 positive divisors give a proper-divisor sum of 2,002,442, so this integer is deficient. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2 × 11 × 23 × 5591

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,831,488

Proper Divisor Sum 2,002,442

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2829011 ← → #2829049

Radix Representation

Decimal	2829046
Binary	1010110010101011110110 (22 bits)
Octal	0o12625366
Hexadecimal	0x2B2AF6

Divisor Catalog (16)

1 2 11 22 23 46 253 506 5,591 11,182 61,501 123,002 128,593 257,186 1,414,523 2,829,046

Collatz Trajectory (200 steps to reach 1)

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

2,829,046 1,414,523 4,243,570 2,121,785 6,365,356 3,182,678 1,591,339 4,774,018 2,387,009 7,161,028 3,580,514 1,790,257 5,370,772 2,685,386 1,342,693 4,028,080 2,014,040 1,007,020 503,510 251,755 755,266 377,633 1,132,900 566,450 283,225 849,676 424,838 212,419 637,258 318,629 955,888 477,944 238,972 119,486 59,743 179,230 89,615 268,846 134,423 403,270 201,635 604,906 302,453 907,360 453,680 226,840 113,420 56,710 28,355 85,066 42,533 127,600 63,800 31,900 15,950 7,975 23,926 11,963 35,890 17,945

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