2,769,723

3² × 11 × 101 × 277

Starting at 2,769,723, the Collatz iteration reaches 1 after 169 steps. The first transition is 8309170; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 11 × 101 × 277

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,423,536

Proper Divisor Sum 1,653,813

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2769719 ← → #2769751

Radix Representation

Decimal	2769723
Binary	1010100100001100111011 (22 bits)
Octal	0o12441473
Hexadecimal	0x2A433B

Divisor Catalog (24)

1 3 9 11 33 99 101 277 303 831 909 1,111 2,493 3,047 3,333 9,141 9,999 27,423 27,977 83,931 251,793 307,747 923,241 2,769,723

Collatz Trajectory (169 steps to reach 1)

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

2,769,723 8,309,170 4,154,585 12,463,756 6,231,878 3,115,939 9,347,818 4,673,909 14,021,728 7,010,864 3,505,432 1,752,716 876,358 438,179 1,314,538 657,269 1,971,808 985,904 492,952 246,476 123,238 61,619 184,858 92,429 277,288 138,644 69,322 34,661 103,984 51,992 25,996 12,998 6,499 19,498 9,749 29,248 14,624 7,312 3,656 1,828 914 457 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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