9,873,020

2² × 5 × 263 × 1877

Starting at 9,873,020, the Collatz iteration reaches 1 after 114 steps. The first transition is 4936510; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 263 × 1877

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 20,823,264

Proper Divisor Sum 10,950,244

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #9873011 ← → #9873023

Radix Representation

Decimal	9873020
Binary	100101101010011001111100 (24 bits)
Octal	0o45523174
Hexadecimal	0x96A67C

Divisor Catalog (24)

1 2 4 5 10 20 263 526 1,052 1,315 1,877 2,630 3,754 5,260 7,508 9,385 18,770 37,540 493,651 987,302 1,974,604 2,468,255 4,936,510 9,873,020

Collatz Trajectory (114 steps to reach 1)

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

9,873,020 4,936,510 2,468,255 7,404,766 3,702,383 11,107,150 5,553,575 16,660,726 8,330,363 24,991,090 12,495,545 37,486,636 18,743,318 9,371,659 28,114,978 14,057,489 42,172,468 21,086,234 10,543,117 31,629,352 15,814,676 7,907,338 3,953,669 11,861,008 5,930,504 2,965,252 1,482,626 741,313 2,223,940 1,111,970 555,985 1,667,956 833,978 416,989 1,250,968 625,484 312,742 156,371 469,114 234,557 703,672 351,836 175,918 87,959 263,878 131,939 395,818 197,909 593,728 296,864 148,432 74,216 37,108 18,554 9,277 27,832 13,916 6,958 3,479 10,438

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