7,354,508

2² × 7² × 157 × 239

Starting at 7,354,508, the Collatz iteration reaches 1 after 173 steps. The first transition is 3677254; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 157 × 239

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 15,130,080

Proper Divisor Sum 7,775,572

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7354499 ← → #7354519

Radix Representation

Decimal	7354508
Binary	11100000011100010001100 (23 bits)
Octal	0o34034214
Hexadecimal	0x70388C

Divisor Catalog (36)

1 2 4 7 14 28 49 98 157 196 239 314 478 628 956 1,099 1,673 2,198 3,346 4,396 6,692 7,693 11,711 15,386 23,422 30,772 37,523 46,844 75,046 150,092 262,661 525,322 1,050,644 1,838,627 3,677,254 7,354,508

Collatz Trajectory (173 steps to reach 1)

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

7,354,508 3,677,254 1,838,627 5,515,882 2,757,941 8,273,824 4,136,912 2,068,456 1,034,228 517,114 258,557 775,672 387,836 193,918 96,959 290,878 145,439 436,318 218,159 654,478 327,239 981,718 490,859 1,472,578 736,289 2,208,868 1,104,434 552,217 1,656,652 828,326 414,163 1,242,490 621,245 1,863,736 931,868 465,934 232,967 698,902 349,451 1,048,354 524,177 1,572,532 786,266 393,133 1,179,400 589,700 294,850 147,425 442,276 221,138 110,569 331,708 165,854 82,927 248,782 124,391 373,174 186,587 559,762 279,881

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