9,773,910

2 × 3² × 5 × 131 × 829

Starting at 9,773,910, the Collatz iteration reaches 1 after 194 steps. The first transition is 4886955; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 131 × 829

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 25,637,040

Proper Divisor Sum 15,863,130

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9773887 ← → #9773941

Radix Representation

Decimal	9773910
Binary	100101010010001101010110 (24 bits)
Octal	0o45221526
Hexadecimal	0x952356

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 655 786 829 1,179 1,310 1,658 1,965 2,358 2,487 3,930 4,145 4,974 5,895 7,461 8,290 11,790 12,435 14,922 24,870 37,305 74,610 108,599 217,198 325,797 542,995 651,594 977,391 1,085,990 1,628,985 1,954,782 3,257,970 4,886,955 9,773,910

Collatz Trajectory (194 steps to reach 1)

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

9,773,910 4,886,955 14,660,866 7,330,433 21,991,300 10,995,650 5,497,825 16,493,476 8,246,738 4,123,369 12,370,108 6,185,054 3,092,527 9,277,582 4,638,791 13,916,374 6,958,187 20,874,562 10,437,281 31,311,844 15,655,922 7,827,961 23,483,884 11,741,942 5,870,971 17,612,914 8,806,457 26,419,372 13,209,686 6,604,843 19,814,530 9,907,265 29,721,796 14,860,898 7,430,449 22,291,348 11,145,674 5,572,837 16,718,512 8,359,256 4,179,628 2,089,814 1,044,907 3,134,722 1,567,361 4,702,084 2,351,042 1,175,521 3,526,564 1,763,282 881,641 2,644,924 1,322,462 661,231 1,983,694 991,847 2,975,542 1,487,771 4,463,314 2,231,657

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