2,770,647

3 × 11 × 113 × 743

Starting at 2,770,647, the Collatz iteration reaches 1 after 169 steps. The first transition is 8311942; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 113 × 743

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,071,168

Proper Divisor Sum 1,300,521

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2770639 ← → #2770667

Radix Representation

Decimal	2770647
Binary	1010100100011011010111 (22 bits)
Octal	0o12443327
Hexadecimal	0x2A46D7

Divisor Catalog (16)

1 3 11 33 113 339 743 1,243 2,229 3,729 8,173 24,519 83,959 251,877 923,549 2,770,647

Collatz Trajectory (169 steps to reach 1)

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

2,770,647 8,311,942 4,155,971 12,467,914 6,233,957 18,701,872 9,350,936 4,675,468 2,337,734 1,168,867 3,506,602 1,753,301 5,259,904 2,629,952 1,314,976 657,488 328,744 164,372 82,186 41,093 123,280 61,640 30,820 15,410 7,705 23,116 11,558 5,779 17,338 8,669 26,008 13,004 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82

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