2,353,767

3 × 13 × 60353

Starting at 2,353,767, the Collatz iteration reaches 1 after 161 steps. The first transition is 7061302; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 60353

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,379,824

Proper Divisor Sum 1,026,057

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2353759 ← → #2353781

Radix Representation

Decimal	2353767
Binary	1000111110101001100111 (22 bits)
Octal	0o10765147
Hexadecimal	0x23EA67

Divisor Catalog (8)

1 3 13 39 60,353 181,059 784,589 2,353,767

Collatz Trajectory (161 steps to reach 1)

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

2,353,767 7,061,302 3,530,651 10,591,954 5,295,977 15,887,932 7,943,966 3,971,983 11,915,950 5,957,975 17,873,926 8,936,963 26,810,890 13,405,445 40,216,336 20,108,168 10,054,084 5,027,042 2,513,521 7,540,564 3,770,282 1,885,141 5,655,424 2,827,712 1,413,856 706,928 353,464 176,732 88,366 44,183 132,550 66,275 198,826 99,413 298,240 149,120 74,560 37,280 18,640 9,320 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62 31 94 47 142 71

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