2,102,301

3³ × 77863

2,102,301 factors as 3^3 × 77863. Its 8 positive divisors give a proper-divisor sum of 1,012,259, so this integer is deficient. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 3^3 × 77863

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,114,560

Proper Divisor Sum 1,012,259

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #2102291 ← → #2102311

Radix Representation

Decimal	2102301
Binary	1000000001010000011101 (22 bits)
Octal	0o10012035
Hexadecimal	0x20141D

Divisor Catalog (8)

1 3 9 27 77,863 233,589 700,767 2,102,301

Collatz Trajectory (241 steps to reach 1)

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

2,102,301 6,306,904 3,153,452 1,576,726 788,363 2,365,090 1,182,545 3,547,636 1,773,818 886,909 2,660,728 1,330,364 665,182 332,591 997,774 498,887 1,496,662 748,331 2,244,994 1,122,497 3,367,492 1,683,746 841,873 2,525,620 1,262,810 631,405 1,894,216 947,108 473,554 236,777 710,332 355,166 177,583 532,750 266,375 799,126 399,563 1,198,690 599,345 1,798,036 899,018 449,509 1,348,528 674,264 337,132 168,566 84,283 252,850 126,425 379,276 189,638 94,819 284,458 142,229 426,688 213,344 106,672 53,336 26,668 13,334

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