7,257,291

3 × 37 × 65381

Starting at 7,257,291, the Collatz iteration reaches 1 after 173 steps. The first transition is 21771874; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 37 × 65381

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,938,064

Proper Divisor Sum 2,680,773

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7257281 ← → #7257293

Radix Representation

Decimal	7257291
Binary	11011101011110011001011 (23 bits)
Octal	0o33536313
Hexadecimal	0x6EBCCB

Divisor Catalog (8)

1 3 37 111 65,381 196,143 2,419,097 7,257,291

Collatz Trajectory (173 steps to reach 1)

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

7,257,291 21,771,874 10,885,937 32,657,812 16,328,906 8,164,453 24,493,360 12,246,680 6,123,340 3,061,670 1,530,835 4,592,506 2,296,253 6,888,760 3,444,380 1,722,190 861,095 2,583,286 1,291,643 3,874,930 1,937,465 5,812,396 2,906,198 1,453,099 4,359,298 2,179,649 6,538,948 3,269,474 1,634,737 4,904,212 2,452,106 1,226,053 3,678,160 1,839,080 919,540 459,770 229,885 689,656 344,828 172,414 86,207 258,622 129,311 387,934 193,967 581,902 290,951 872,854 436,427 1,309,282 654,641 1,963,924 981,962 490,981 1,472,944 736,472 368,236 184,118 92,059 276,178

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