2,722,923

3³ × 7 × 14407

Starting at 2,722,923, the Collatz iteration reaches 1 after 169 steps. The first transition is 8168770; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 7 × 14407

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,610,560

Proper Divisor Sum 1,887,637

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2722919 ← → #2722931

Radix Representation

Decimal	2722923
Binary	1010011000110001101011 (22 bits)
Octal	0o12306153
Hexadecimal	0x298C6B

Divisor Catalog (16)

1 3 7 9 21 27 63 189 14,407 43,221 100,849 129,663 302,547 388,989 907,641 2,722,923

Collatz Trajectory (169 steps to reach 1)

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

2,722,923 8,168,770 4,084,385 12,253,156 6,126,578 3,063,289 9,189,868 4,594,934 2,297,467 6,892,402 3,446,201 10,338,604 5,169,302 2,584,651 7,753,954 3,876,977 11,630,932 5,815,466 2,907,733 8,723,200 4,361,600 2,180,800 1,090,400 545,200 272,600 136,300 68,150 34,075 102,226 51,113 153,340 76,670 38,335 115,006 57,503 172,510 86,255 258,766 129,383 388,150 194,075 582,226 291,113 873,340 436,670 218,335 655,006 327,503 982,510 491,255 1,473,766 736,883 2,210,650 1,105,325 3,315,976 1,657,988 828,994 414,497 1,243,492 621,746

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