2,723,770

2 × 5 × 7 × 167 × 233

Starting at 2,723,770, the Collatz iteration reaches 1 after 169 steps. The first transition is 1361885; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 167 × 233

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,660,928

Proper Divisor Sum 2,937,158

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #2723761 ← → #2723771

Radix Representation

Decimal	2723770
Binary	1010011000111110111010 (22 bits)
Octal	0o12307672
Hexadecimal	0x298FBA

Divisor Catalog (32)

1 2 5 7 10 14 35 70 167 233 334 466 835 1,165 1,169 1,631 1,670 2,330 2,338 3,262 5,845 8,155 11,690 16,310 38,911 77,822 194,555 272,377 389,110 544,754 1,361,885 2,723,770

Collatz Trajectory (169 steps to reach 1)

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

2,723,770 1,361,885 4,085,656 2,042,828 1,021,414 510,707 1,532,122 766,061 2,298,184 1,149,092 574,546 287,273 861,820 430,910 215,455 646,366 323,183 969,550 484,775 1,454,326 727,163 2,181,490 1,090,745 3,272,236 1,636,118 818,059 2,454,178 1,227,089 3,681,268 1,840,634 920,317 2,760,952 1,380,476 690,238 345,119 1,035,358 517,679 1,553,038 776,519 2,329,558 1,164,779 3,494,338 1,747,169 5,241,508 2,620,754 1,310,377 3,931,132 1,965,566 982,783 2,948,350 1,474,175 4,422,526 2,211,263 6,633,790 3,316,895 9,950,686 4,975,343 14,926,030 7,463,015 22,389,046

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