7,990,017

3 × 7 × 17 × 22381

Starting at 7,990,017, the Collatz iteration reaches 1 after 230 steps. The first transition is 23970052; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 17 × 22381

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,892,032

Proper Divisor Sum 4,902,015

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7990001 ← → #7990057

Radix Representation

Decimal	7990017
Binary	11110011110101100000001 (23 bits)
Octal	0o36365401
Hexadecimal	0x79EB01

Divisor Catalog (16)

1 3 7 17 21 51 119 357 22,381 67,143 156,667 380,477 470,001 1,141,431 2,663,339 7,990,017

Collatz Trajectory (230 steps to reach 1)

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

7,990,017 23,970,052 11,985,026 5,992,513 17,977,540 8,988,770 4,494,385 13,483,156 6,741,578 3,370,789 10,112,368 5,056,184 2,528,092 1,264,046 632,023 1,896,070 948,035 2,844,106 1,422,053 4,266,160 2,133,080 1,066,540 533,270 266,635 799,906 399,953 1,199,860 599,930 299,965 899,896 449,948 224,974 112,487 337,462 168,731 506,194 253,097 759,292 379,646 189,823 569,470 284,735 854,206 427,103 1,281,310 640,655 1,921,966 960,983 2,882,950 1,441,475 4,324,426 2,162,213 6,486,640 3,243,320 1,621,660 810,830 405,415 1,216,246 608,123 1,824,370

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