7,634,249

7² × 155801

Starting at 7,634,249, the Collatz iteration reaches 1 after 261 steps. The first transition is 22902748; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 155801

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 8,880,714

Proper Divisor Sum 1,246,465

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7634243 ← → #7634281

Radix Representation

Decimal	7634249
Binary	11101000111110101001001 (23 bits)
Octal	0o35076511
Hexadecimal	0x747D49

Divisor Catalog (6)

1 7 49 155,801 1,090,607 7,634,249

Collatz Trajectory (261 steps to reach 1)

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

7,634,249 22,902,748 11,451,374 5,725,687 17,177,062 8,588,531 25,765,594 12,882,797 38,648,392 19,324,196 9,662,098 4,831,049 14,493,148 7,246,574 3,623,287 10,869,862 5,434,931 16,304,794 8,152,397 24,457,192 12,228,596 6,114,298 3,057,149 9,171,448 4,585,724 2,292,862 1,146,431 3,439,294 1,719,647 5,158,942 2,579,471 7,738,414 3,869,207 11,607,622 5,803,811 17,411,434 8,705,717 26,117,152 13,058,576 6,529,288 3,264,644 1,632,322 816,161 2,448,484 1,224,242 612,121 1,836,364 918,182 459,091 1,377,274 688,637 2,065,912 1,032,956 516,478 258,239 774,718 387,359 1,162,078 581,039 1,743,118

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